Division of 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

What does it mean to divide fractions?

Back

Dividing fractions involves multiplying 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 swapping the numerator and denominator.

Front

How do you solve a division of fractions problem?

Back

To solve, multiply the first fraction by the reciprocal of the second fraction.

Front

What is an example of dividing fractions?

Back

Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2.

Front

What is a word problem in math?

Back

A word problem is a mathematical question presented in a narrative form, requiring interpretation and problem-solving.

Front

How do you identify the operation needed in a word problem?

Back

Look for keywords: 'how many times', 'per', 'out of', which often indicate division.

Front

What is a common mistake when dividing fractions?

Back

A common mistake is forgetting to multiply by the reciprocal.

Front

What is a real-life example of dividing fractions?

Back

If a recipe requires 3/4 cup of sugar and you want to make 1/2 of the recipe, you divide: 3/4 ÷ 1/2 = 3/4 × 2/1 = 3/2 cups.

Front

What does 'simplifying a fraction' mean?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common factor.