5.NF.7 Study Guide

Front

What is the process to divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, to divide 1/3 by 2, calculate 1/(3*2) = 1/6.

Front

How do you find the weight of each piece when dividing a total weight into equal parts?

Back

To find the weight of each piece, divide the total weight by the number of pieces. For example, if you have 1/2 pound of fudge and cut it into 5 pieces, each piece weighs 1/2 ÷ 5 = 1/10 pound.

Front

What is the formula for calculating the total number of items that can be made from a given quantity?

Back

The formula is: Total items = Total quantity ÷ Quantity per item. For example, if you have 4 pounds of clay and each student uses 1/4 pound, then 4 ÷ (1/4) = 16 students can complete the project.

Front

How do you convert a mixed number into an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, the fraction 1/2 means 1 divided by 2.

Front

How do you determine how many bags are needed if you have a total weight and a weight per bag?

Back

To determine the number of bags needed, divide the total weight by the weight per bag. For example, if you have 5 pounds of strawberries and each bag holds 1/3 pound, then 5 ÷ (1/3) = 15 bags.

Front

What is the significance of equal parts in division problems?

Back

Equal parts in division problems ensure that each portion is the same size, which is essential for fair distribution and accurate calculations.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 4/8, divide both by 4 to get 1/2.

Front

What is the concept of unit rate in relation to fractions?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a fraction. For example, if 1/2 pound of fudge costs $2, the unit rate is $2 per 1/2 pound.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/4 and 1/3, the common denominator is 12, so convert to 3/12 + 4/12 = 7/12.