Multiplying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction \( \frac{3}{4} \), 3 is the numerator and 4 is the denominator.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, \( \frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2} \) after simplification.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. If the length is \( l \) and the width is \( w \), then Area = \( l \times w \).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1. For example, \( \frac{4}{8} \) simplifies to \( \frac{1}{2} \).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, \( 2 \frac{1}{2} \) is a mixed number, which means 2 whole parts and 1 half.

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, \( 2 \frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2} \).

Front

What is the product of a fraction and a whole number?

Back

To find the product of a fraction and a whole number, multiply the numerator of the fraction by the whole number and keep the same denominator. For example, \( 3 \times \frac{2}{5} = \frac{3 \times 2}{5} = \frac{6}{5} \).

Front

What is the relationship between multiplication and area?

Back

Multiplication is used to calculate the area of shapes like rectangles. The area is found by multiplying the length and width, which are often expressed as fractions.

Front

How do you subtract fractions?

Back

To subtract fractions, they must have a common denominator. If they do, subtract the numerators and keep the denominator the same. For example, \( \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \).

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator. For example, \( \frac{2}{3} \) is a proper fraction.