Dividing Fractions Word Problems

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 and 'b' is the denominator.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a', obtained by flipping the numerator and denominator.

Front

If Cody made 1/2 of a quart of hot chocolate and each mug holds 1/8 of a quart, how many mugs can he fill?

Back

4 mugs (1/2 ÷ 1/8 = 4).

Front

What does it mean to solve a word problem involving fractions?

Back

It means to translate the scenario described in the problem into a mathematical equation using fractions.

Front

How do you find the length of each shelf if Deion cut 6 shelves using 3/4 of a yard of wood?

Back

Each shelf is 1/8 yard long (3/4 ÷ 6 = 1/8).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 3 1/2.

Front

If Jon has 3/5 of a pound of bird seed, which is 1/3 of what he needs, how much does he need in total?

Back

He needs 9/5 pounds (3/5 ÷ 1/3 = 9/5).

Front

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

Back

Divide the numerator by the denominator; the quotient is the whole number, and the remainder is the new numerator.

Front

How many days will 5/6 of a bag of coffee last if Paul's Cafe uses 5 bags every day?

Back

It will last 1/6 of a day (5/6 ÷ 5 = 1/6).