Fraction Multiplication and Division

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

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

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 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 1/3 of a number?

Back

To find 1/3 of a number, divide the number by 3. For example, 1/3 of 9 is 9 ÷ 3 = 3.

Front

What is 3/5 of 40?

Back

3/5 of 40 is calculated by multiplying: (3/5) * 40 = 24.

Front

If you have 6 meters of yarn and cut it into 1/3 meter pieces, how many pieces do you have?

Back

You have 18 pieces, calculated as 6 ÷ (1/3) = 6 * 3 = 18.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction means to multiply by its reciprocal. For example, dividing by 1/3 is the same as multiplying by 3.

Front

How do you represent a fraction in a word problem?

Back

In a word problem, a fraction can represent parts of a whole, such as '1/4 of a pizza' or '2/3 of a class.'

Front

What is the result of 10 divided by 1/3?

Back

10 divided by 1/3 equals 30, because 10 ÷ (1/3) = 10 * 3 = 30.