Multiplying Fractions and Mixed Numbers (+/-)

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 and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

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 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/8 simplifies to 1/2.

Front

What happens to the sign of the product when multiplying two negative fractions?

Back

The product of two negative fractions is positive.

Front

What is the product of a positive fraction and a negative fraction?

Back

The product of a positive fraction and a negative fraction is negative.

Front

How do you multiply a fraction by a mixed number?

Back

Convert the mixed number to an improper fraction, then multiply as you would with two fractions. For example, (1/2) * (2 1/3) = (1/2) * (7/3) = 7/6.

Front

What is the result of multiplying a fraction by 1?

Back

Multiplying a fraction by 1 does not change its value. For example, (3/4) * 1 = 3/4.

Front

How do you find a fraction of a quantity?

Back

To find a fraction of a quantity, multiply the quantity by the fraction. For example, to find 1/4 of 20, calculate (1/4) * 20 = 5.