Multiplying Fractions by Whole Numbers

Front

What is the process for multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, to multiply 3/4 by 4, calculate 3 x 4 = 12, so the result is 12/4.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 3 1/2 is a mixed number.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder.

Front

How can you represent multiplication of a fraction visually?

Back

Multiplication of a fraction can be represented visually using area models or number lines, showing how many parts of the whole are being taken.

Front

What is the result of multiplying a fraction by 1?

Back

Multiplying a fraction by 1 results in the same fraction. For example, 3/4 x 1 = 3/4.

Front

What is the result of multiplying a fraction by 0?

Back

Multiplying a fraction by 0 results in 0. For example, 3/4 x 0 = 0.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, the fraction 3/4 represents 3 divided by 4.