5.NF.7 Study Guide

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you divide a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. For example, to divide 5 by 1/3, calculate 5 * (3/1) = 15.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means identifying a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process to convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator.

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, or 1/4.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (1/2) * (3/4) = (1*3)/(2*4) = 3/8.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions involves combining parts, while division of fractions involves determining how many times one fraction fits into another.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For a fraction a/b, the reciprocal is b/a.