Multiplying Fractions

Front

What is a fraction?

Back

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

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. The result is a new fraction.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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, add the numerator, and place that result over the original denominator.

Front

What is the first step in solving a word problem involving fractions?

Back

The first step is to read the problem carefully and identify the quantities involved and what is being asked.

Front

What does 'of' mean in the context of fractions?

Back

'Of' typically indicates multiplication when dealing with fractions, such as finding a fraction of a quantity.

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).

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is the result of 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.

Front

How do you handle mixed numbers in multiplication?

Back

Convert mixed numbers to improper fractions before multiplying.