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 'a/b' is 'b/a'. It is obtained by flipping the numerator and denominator.

Front

How do you divide fractions?

Back

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

Front

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

Back

1/2 * 1/3 = 1/6.

Front

What is 3/4 ÷ 1/2?

Back

3/4 ÷ 1/2 = 3/4 * 2/1 = 3/2 or 1 1/2.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD of 10 and 15?

Back

The GCD of 10 and 15 is 5.

Front

If you have 12 yards of fabric and each pillow uses 2/3 yard, how many pillows can you make?

Back

12 ÷ (2/3) = 12 * (3/2) = 18 pillows.

Front

What is 5 x 3/5?

Back

5 x 3/5 = 15/5 = 3.