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) * (c/d) = (a*c)/(b*d).

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 divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is 1/4 of 12?

Back

1/4 of 12 is 3, because 12 * 1/4 = 3.

Front

What is the simplified form of 16/30?

Back

The simplified form of 16/30 is 8/15.

Front

If George has 1/3 of a pan of brownies and eats 1/4 of them, what fraction did he eat?

Back

George ate 1/12 of the pan of brownies, calculated as (1/3) * (1/4) = 1/12.

Front

What is the least common multiple (LCM) of 4 and 6?

Back

The LCM of 4 and 6 is 12.

Front

What is the greatest common divisor (GCD) of 8 and 12?

Back

The GCD of 8 and 12 is 4.

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 1/3 = (2*3 + 1)/3 = 7/3.