10 Questions
What is the first step in finding a fraction of a whole number?
Divide the whole number by the denominator
When dividing decimals by whole numbers, you should use long division.
False
What is the first step in multiplying fractions?
Multiply the numerators together and multiply the denominators together.
To convert a percentage to a decimal, you should _______________________ by 100.
divide
Match the following operations with their steps:
Dividing Decimals by Whole Numbers = Use short division Multiplying Fractions = Multiply numerators Converting Percentage to Decimal = Divide by 100
When converting a mixed fraction to an improper fraction, you should multiply the whole number by the denominator and add the numerator.
True
To divide fractions, you should _______________________ the divisor (2nd fraction) and then multiply the two fractions together.
flip (or invert)
What is the first step in finding a fraction of a fraction?
Cancel any common factors
What is the unitary method used for?
The unitary method is used to find the cost of an item when the cost of another item is known.
How do you convert a decimal to a fraction?
Write the decimal as a fraction with a denominator of 1 and then simplify
Study Notes
Finding Fractions
- To find a fraction of a whole number, divide the whole number by the denominator and multiply the answer by the numerator.
- To find a fraction of a fraction, cancel any common factors, multiply the numerators together and the denominators together, and simplify the answer further if needed.
Operations with Fractions
- To multiply fractions, multiply the numerators together and the denominators together, and simplify the answer if needed.
- To divide fractions, invert the fraction being divided by (i.e., flip the numerator and denominator), multiply the two fractions together, and simplify or turn to a mixed number.
Operations with Decimals
- To multiply decimals, count the total number of decimal places, multiply as if both numbers were whole numbers, and add the decimal point to the product.
- To divide decimals by whole numbers, use short division.
- To divide decimals by decimals, move both decimal points until the divisor becomes a whole number, divide, and add the decimal point to the answer.
Percentages
- To write a percentage as a fraction, write the percentage as the numerator with a denominator of 100 and simplify if needed.
- To convert a percentage to a decimal, divide by 100.
- To convert a fraction to a percentage, divide the numerator by the denominator, convert the answer to a percentage, and simplify if needed.
Converting between Fractions and Decimals
- To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, multiply the numerator and denominator by 10^n (where n is the number of digits after the decimal), and simplify.
- To convert a fraction to a decimal, divide the numerator by the denominator, and that's the answer.
Calculations with Discounts
- To calculate the discount price, multiply the original price by the percentage (after converting the percentage to a decimal), and subtract the original price from the answer.
Unitary Method
- To use the unitary method, divide the cost by the amount, and multiply the answer by the second amount (usually the third number given).
Learn how to perform operations with fractions, including finding fractions of whole numbers and fractions, multiplying, and dividing fractions.
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