Multiplying fractions by 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 two fractions?

Back

To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then simplify if necessary.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the product of 1/2 and 1/3?

Back

The product of 1/2 and 1/3 is 1/6.

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 the significance of the denominator in a fraction?

Back

The denominator indicates how many equal parts the whole is divided into.

Front

What is the significance of the numerator in a fraction?

Back

The numerator indicates how many parts of the whole are being considered.

Front

How do you find a fraction of a quantity?

Back

To find a fraction of a quantity, multiply the quantity by the numerator of the fraction and then divide by the denominator.

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 same denominator.

Front

What is a common mistake when multiplying fractions?

Back

A common mistake is to add the fractions instead of multiplying them.