Fraction Division 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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

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.

Front

What does it mean to share equally?

Back

Sharing equally means dividing something into equal parts so that each person receives the same amount.

Front

If you have 4/5 of a candy bar and share it with 3 people, how do you find out how much each person gets?

Back

Divide 4/5 by 3, which is the same as multiplying 4/5 by 1/3. This gives you 4/15.

Front

What is the reciprocal of a fraction?

Back

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

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 process to find how much pizza each person gets if 13 3/6 pizzas are shared by 2 people?

Back

Convert 13 3/6 to an improper fraction (81/6) and then divide by 2. This gives you 81/12, which simplifies to 6 3/4.

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, 9/24 can be simplified to 3/8.

Front

What is the total amount when you add fractions?

Back

To add fractions, they must have a common denominator. If they don't, find the least common denominator (LCD), convert the fractions, and then add the numerators.

Front

How do you find the amount each person gets when sharing 9 1/2 cookies among 20 people?

Back

Convert 9 1/2 to an improper fraction (19/2) and divide by 20. This gives you 19/40.