Multiplying and Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, 9 ÷ (1/2) = 9 x (2/1) = 18.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you find ⅜ of a number?

Back

To find ⅜ of a number, multiply the number by ⅜. For example, to find ⅜ of 24, calculate 24 x ⅜ = 9.

Front

What is the quotient of 5 ÷ ⅙?

Back

The quotient of 5 ÷ ⅙ is 30.

Front

What is the result of multiplying a whole number by a fraction?

Back

When you multiply a whole number by a fraction, you multiply the whole number by the numerator and then divide by the denominator. For example, 2 x 1/4 = 2/4.

Front

How do you convert a division problem into a multiplication problem?

Back

To convert a division problem into a multiplication problem, multiply by the reciprocal of the divisor. For example, 9 ÷ ½ becomes 9 x 2.

Front

What is 2/3 of 9 pages?

Back

To find 2/3 of 9 pages, multiply 9 by 2/3: 9 x 2/3 = 6 pages.

Front

What is the formula for dividing fractions?

Back

The formula for dividing fractions is: (a/b) ÷ (c/d) = (a/b) x (d/c).