Fractions as Division Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator (top number) and the denominator (bottom number).

Front

How do you convert a fraction to a division expression?

Back

To convert a fraction to a division expression, divide the numerator by the denominator. For example, the fraction 3/5 can be expressed as 3 ÷ 5.

Front

What does it mean to share equally?

Back

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

Front

How do you find the amount per person when sharing a total quantity?

Back

To find the amount per person, divide the total quantity by the number of people sharing it.

Front

What is the process for solving a word problem involving fractions?

Back

1. Read the problem carefully. 2. Identify the total quantity and the number of parts or people. 3. Set up a fraction or division expression. 4. Calculate the result.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into.

Front

How can you represent a mixed number as 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 the result over the original denominator.

Front

What is a word problem?

Back

A word problem is a mathematical problem presented in a narrative form, requiring interpretation and problem-solving skills to find a solution.

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).