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Questions and Answers
What is the simplified form of the fraction $\frac{18}{24}$?
What is the simplified form of the fraction $\frac{18}{24}$?
- $\frac{2}{3}$
- $\frac{3}{8}$
- $\frac{4}{5}$
- $\frac{3}{4}$ (correct)
What is the result of adding the decimal numbers 12.34567 and -4.98765?
What is the result of adding the decimal numbers 12.34567 and -4.98765?
- 7.35802 (correct)
- 8.35820
- 8.35802
- 7.35820
What is $75%$ of 220?
What is $75%$ of 220?
- 165 (correct)
- 175
- 150
- 180
Which of the following represents the percent change when a quantity increases from 50 to 75?
Which of the following represents the percent change when a quantity increases from 50 to 75?
What is the result of multiplying the mixed number $2\frac{1}{2}$ by 4?
What is the result of multiplying the mixed number $2\frac{1}{2}$ by 4?
Flashcards
Improper Fraction
Improper Fraction
A fraction where the numerator is greater than or equal to the denominator, representing a value greater than or equal to one.
Adding and Subtracting Fractions
Adding and Subtracting Fractions
Adding or subtracting fractions with the same denominator: add or subtract the numerators and keep the denominator the same. If the denominators are different, find a common denominator first.
Multiplying Fractions
Multiplying Fractions
To multiply fractions, multiply the numerators and the denominators. If you're multiplying a fraction and a whole number, think of the whole number as a fraction with 1 as the denominator.
Dividing Fractions
Dividing Fractions
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Expressing one quantity as a percentage of another
Expressing one quantity as a percentage of another
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Study Notes
Fractions
- Proper Fractions: Numerator is smaller than the denominator (e.g., 2/3).
- Improper Fractions: Numerator is greater than or equal to the denominator (e.g., 5/2).
- Mixed Numbers: Combination of a whole number and a fraction (e.g., 1 2/3).
- Simplifying Fractions: Reducing a fraction to its lowest terms by dividing the numerator and denominator by their greatest common factor (GCF).
- Adding/Subtracting Fractions: Find a common denominator, then add/subtract the numerators.
- Multiplying Fractions: Multiply the numerators and the denominators.
- Dividing Fractions: Invert the second fraction and multiply (reciprocal).
- Adding/Subtracting Mixed Numbers: Convert mixed numbers to improper fractions, then proceed as with fractions.
- Multiplying/Dividing Mixed Numbers: Convert mixed numbers to improper fractions, then proceed as with fractions.
- Positive and Negative Fractions: Follow standard rules for multiplying, dividing, adding, and subtracting signed numbers.
Decimals
- Adding/Subtracting Decimals: Align the decimal points and proceed as with whole numbers.
- Multiplying Decimals by Whole Numbers: Multiply as with whole numbers; place the decimal point in the product based on the number of decimal places in the decimal.
- Multiplying Decimals by Decimals: Count the total number of decimal places in both numbers; place the decimal point in the product accordingly.
- Dividing Decimals: Move the decimal point in the divisor to make it a whole number. Move the decimal point in the dividend by the same number of places. Divide as with whole numbers.
- Adding/Subtracting Decimals to 5 decimal places: Carry out the calculation and ensure the result has the specified number of decimal places.
- Positive and Negative Decimals: Follow standard rules for multiplying, dividing, adding, and subtracting signed numbers.
Percentages
- Converting Decimals to Percentages: Multiply the decimal by 100 and add the percent symbol (%).
- Converting Fractions to Percentages: Divide the numerator by the denominator and multiply by 100.
- Converting Percentages to Decimals: Divide the percentage by 100 and remove the percent symbol.
- Expressing One Quantity as a Percentage of Another: Divide the quantity by the total quantity, then convert the decimal to a percentage.
- Calculating Percentage Changes: Find the difference between the original and new values, then express that difference as a percentage of the original value.
- Comparing Quantities Using Percentages: Compare quantities by expressing them as a percentage relative to a benchmark.
- Real-life Problems: Apply percentage concepts to solve practical problems (e.g., discounts, taxes, interest).
General Math
- Simplify fractions: To the simplest (irreducible) form.
- Order of Operations: Follow the correct order of operations when evaluating expressions (PEMDAS/BODMAS).
Test Structure Suggestions
- Multiple Choice: Focus on understanding concepts and applying procedures.
- Short Answer: Emphasis on demonstrating procedures and calculation.
- Word Problems: Incorporate real-life scenarios to assess application of the concepts.
- Problem Solving: Use real-life situations to evaluate the ability to translate, calculate, and interpret results.
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Description
Test your knowledge on fractions with this comprehensive quiz covering proper fractions, improper fractions, mixed numbers, and operations involving fractions. Practice simplifying, adding, subtracting, multiplying, and dividing both fractions and mixed numbers. Perfect for students looking to strengthen their understanding of fractions!
