Dividing fraction 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 (part) and 'b' is the denominator (whole).

Front

How do you 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, 1/2 ÷ 3 = 1/(2*3) = 1/6.

Front

What does it mean to find a fraction of a quantity?

Back

Finding a fraction of a quantity means multiplying the quantity by the fraction. For example, to find 1/4 of 20, calculate 20 * 1/4 = 5.

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 and add the numerator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the process to 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, 1/4 + 1/6 = 3/12 + 2/12 = 5/12.

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, 8/12 simplifies to 2/3.

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 multiply fractions?

Back

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

Front

What is a word problem involving fractions?

Back

A word problem involving fractions is a real-life scenario that requires the use of fractions to solve. For example, 'If you have 1/2 of a pizza and eat 1/4 of it, how much pizza do you have left?'

Front

How do you solve a word problem that involves dividing fractions?

Back

To solve a word problem that involves dividing fractions, convert the division into multiplication by using the reciprocal of the second fraction. For example, 1/2 ÷ 1/4 = 1/2 * 4/1 = 2.