Multiplying and Dividing Fractions

Front

What is the process of multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c) = (a*d)/(b*c).

Front

What is a reciprocal?

Back

A reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

If 5/8 of the bottles had orange drink and 2/3 as many had grape drink, how do you find the fraction of bottles with grape drink?

Back

First, find 2/3 of 5/8: (2/3) * (5/8) = 10/24 = 5/12.

Front

How do you convert a mixed number to 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 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the least common denominator (LCD) and why is it important?

Back

The least common denominator is the smallest multiple that two or more denominators share. It is important for adding or subtracting fractions with different denominators.

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). For example, 8/12 simplifies to 2/3.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions increases the value, while division of fractions decreases the value. They are inverse operations.

Front

How do you find the total number of items when given a fraction of a total?

Back

To find the total number of items, divide the number of items represented by the fraction by the fraction itself. For example, if 5/8 of the bottles are orange and there are 20 bottles, then 20 * (5/8) = 12.5 bottles.

Front

What is the formula for finding the number of equal parts in a whole when given a fraction?

Back

To find the number of equal parts in a whole, divide 1 by the fraction. For example, if the fraction is 1/4, then there are 1 ÷ (1/4) = 4 equal parts.