Podcast
Questions and Answers
What is the first step in simplifying complex fractions?
What is the first step in simplifying complex fractions?
- Reduce to the lowest term
- Find the LCD
- Solve it separately (correct)
- Add the fractions together
The process of reducing a complex fraction to its lowest terms is optional.
The process of reducing a complex fraction to its lowest terms is optional.
False (B)
What does LCD stand for in the context of fractions?
What does LCD stand for in the context of fractions?
Least Common Denominator
A decimal number has its whole number part and the fractional part separated by a __________.
A decimal number has its whole number part and the fractional part separated by a __________.
Match the following steps with their corresponding actions in the process of adding or subtracting two fractions.
Match the following steps with their corresponding actions in the process of adding or subtracting two fractions.
What is the final step after performing the Keep, Change, Flip process?
What is the final step after performing the Keep, Change, Flip process?
When reading a decimal number, the decimal part is read as one complete number followed by its place value.
When reading a decimal number, the decimal part is read as one complete number followed by its place value.
What would you call a fraction whose numerator and/or denominator contains fractions?
What would you call a fraction whose numerator and/or denominator contains fractions?
What is the decimal equivalent of 723.29%?
What is the decimal equivalent of 723.29%?
If 60 is a part of 80, what percent does this represent?
If 60 is a part of 80, what percent does this represent?
What is the general form of representing a ratio between two quantities 'a' and 'b'?
What is the general form of representing a ratio between two quantities 'a' and 'b'?
What defines a unit ratio?
What defines a unit ratio?
What does the term 'percent' derive from?
What does the term 'percent' derive from?
What is the process to convert a decimal value to a percentage?
What is the process to convert a decimal value to a percentage?
When converting from percent to decimal, how is the conversion performed?
When converting from percent to decimal, how is the conversion performed?
It is defined as the comparison of two quantities of the same units.
It is defined as the comparison of two quantities of the same units.
What is the correct algebraic expression for 'the sum of a number and 5'?
What is the correct algebraic expression for 'the sum of a number and 5'?
Which of the following represents 'decreased by' in algebraic expressions?
Which of the following represents 'decreased by' in algebraic expressions?
What is the result of the algebraic expression -18m - 2m?
What is the result of the algebraic expression -18m - 2m?
Which option defines the term 'the product of a number and 6'?
Which option defines the term 'the product of a number and 6'?
What does the term 'algebra' derive from, and what does it signify?
What does the term 'algebra' derive from, and what does it signify?
When performing addition on integers with the same sign, what is the rule to follow?
When performing addition on integers with the same sign, what is the rule to follow?
In the expression -23 + -13, what result do you obtain?
In the expression -23 + -13, what result do you obtain?
Which of the following describes a monomial?
Which of the following describes a monomial?
There are 47 boys in the class. This is three more than four times the number of girls. How many girls are there in the class?
There are 47 boys in the class. This is three more than four times the number of girls. How many girls are there in the class?
The sum of two consecutive numbers is 41. What are the numbers?
The sum of two consecutive numbers is 41. What are the numbers?
Flashcards
Complex Fraction
Complex Fraction
A fraction with fractions in either the numerator, denominator, or both.
Least Common Denominator (LCD)
Least Common Denominator (LCD)
The smallest common multiple of the denominators of two or more fractions.
Simplifying a Complex Fraction
Simplifying a Complex Fraction
The process of multiplying the numerator and denominator of a fraction by the same number.
Adding or Subtracting Fractions with Unlike Denominators
Adding or Subtracting Fractions with Unlike Denominators
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Decimal Number
Decimal Number
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Making a Division Sentence
Making a Division Sentence
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Keep, Change, Flip
Keep, Change, Flip
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Reducing to Lowest Terms
Reducing to Lowest Terms
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Ratio
Ratio
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Unit Ratio
Unit Ratio
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Part-to-Part Ratio
Part-to-Part Ratio
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Part-to-Whole Ratio
Part-to-Whole Ratio
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Percentage
Percentage
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Converting Decimal to Percent
Converting Decimal to Percent
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Converting Percent to Decimal
Converting Percent to Decimal
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Simplifying a Ratio
Simplifying a Ratio
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What is a proportion?
What is a proportion?
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How do you solve proportions?
How do you solve proportions?
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How do you convert a fraction to a percent?
How do you convert a fraction to a percent?
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What is a percent?
What is a percent?
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How do you solve percentage problems using proportions?
How do you solve percentage problems using proportions?
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What is algebra?
What is algebra?
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What is an algebraic expression?
What is an algebraic expression?
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What is an algebraic equation?
What is an algebraic equation?
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Define integers.
Define integers.
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What is a monomial?
What is a monomial?
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Multiplying Monomials
Multiplying Monomials
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Dividing Monomials
Dividing Monomials
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Translating Verbal Phrases
Translating Verbal Phrases
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Distance Problems
Distance Problems
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Age Problems
Age Problems
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Study Notes
Complex Fractions
- A complex fraction is a fraction where the numerator or denominator, or both, contains a fraction.
Simplifying Complex Fractions
- Step 2: Keep, Change, Flip.
- Step 3: Multiply the numerators and denominators.
Adding or Subtracting Unlike Denominators
- Step 1: Solve each fraction separately.
- Step 2: Find the Least Common Denominator (LCD) of the denominators.
- Step 3: Multiply the numerator and denominator of each fraction by the number needed to get the LCD.
- Step 4: Add or subtract the numerators.
- Step 5: Write the result as a new fraction with the LCD as the denominator.
- Step 6: Keep, change, flip.
- Step 7: Reduce your answer to the lowest terms if necessary.
Adding or Subtracting Fractions with the Same Denominator
- Step 1: Solve each fraction separately.
- Step 2: Keep the common denominator.
- Step 3: Add or subtract the numerators.
- Step 4: Write the result as a new fraction.
- Step 5: Simplify the fraction to the lowest terms.
Decimal Numbers
- A decimal number has a whole number part and a fractional part separated by a decimal point.
- Each position after the decimal point is 10 times smaller than the previous position.
Rounding Decimals
- Locate the digit to be rounded.
- Look at the digit to the right.
- If the digit to the right is less than 5, keep the digit the same and remove the rest of the digits.
- If the digit to the right is greater than or equal to 5, add 1 to the digit being rounded and remove the rest of the digits.
Converting Fractions to Decimals
- Divide the numerator by the denominator.
Converting Decimals to Fractions:
- Identify the place value of the digits after the decimal.
- Use that value to determine the denominator.
- Remove the decimal point.
- Simplify.
- Express as the lowest equivalent fraction
Adding and Subtracting Decimals
- Line up the decimal points vertically.
- Add or subtract as if the numbers were whole numbers.
- Place the decimal point in the result vertically with the numbers.
Multiplying Decimals
- Initially, ignore the decimal points, and multiply the numbers as if they were whole numbers.
- Count the total number of decimal places in both numbers.
- Place the decimal point in the product so that it has the same number of decimal places.
Dividing Decimals
- Convert the divisor into a whole number by moving the decimal point to the right.
- Move the decimal point in the dividend the same number of places to the right.
- Divide as if the numbers were whole numbers.
- Place the decimal point in the quotient directly above the decimal point in the dividend.
Ratio
- Ratio is a comparison of two quantities or numbers, frequently showing the relationship between them.
- In a ratio form, a:b or a/b, the quantity a comes before b.
Ratio Formula
- Formula: percent(%) = part/whole.
Percentage
- Percentage is a number or ratio expressed as a fraction of 100.
- Percentage values represent proportions based on a total value of 100.
Converting Percentage to Decimal
- Remove the percentage symbol.
- Divide by 100.
- Move the decimal point two places to the left.
Converting Decimal to Percent
- Multiply by 100
- Move the decimal point two places to the right.
Converting Fraction to Percent
- Multiply the fraction by 100.
- Simplify.
Converting Percent to Fraction
- Remove the percentage symbol
- Divide by 100.
- Simplify.
Proportion
- A proportion is an equation in which two ratios are set equal to each other.
Solving Proportions
- Calculate the cross products.
- Set the cross products equal to each other.
- Solve the equation for the unknown.
Solving Percentage Problems using Proportion
- Set up a proportion with the known values.
- Cross-multiply to find the unknown value.
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