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 and 'b' is the denominator.

Front

How do you multiply two fractions?

Back

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

Front

What is the product of 3/4 and 2/3?

Back

The product is (3*2)/(4*3) = 6/12, which simplifies to 1/2.

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) x (d/c).

Front

What is the reciprocal of 3/5?

Back

The reciprocal of 3/5 is 5/3.

Front

If you have 1/2 of a pizza and you want to share it with 2 friends, how much does each friend get?

Back

Each friend gets (1/2) ÷ 2 = 1/4 of the pizza.

Front

What is the area of a rectangle with a width of 3/5 units and a length of 2/4 units?

Back

The area is (3/5) x (2/4) = 6/20, which simplifies to 3/10.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is 9/24 simplified?

Back

9/24 simplifies to 3/8.

Front

If n x 3/5 = 3/5, what is the value of n?

Back

The value of n is 1, because 1 x 3/5 = 3/5.