Multiplying fractions by 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 two fractions?

Back

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

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 the product of 1/2 and 1/3?

Back

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

Front

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

Back

2/3 * 3/4 = 6/12, which simplifies to 1/2.

Front

If you have 3/5 of a pizza and you eat 1/2 of that, how much pizza do you have left?

Back

3/5 * 1/2 = 3/10 of the pizza is eaten, so you have 3/5 - 3/10 = 3/10 left.

Front

What is 2/5 of 1/3?

Back

2/5 * 1/3 = 2/15.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the product of 3/4 and 2/5?

Back

3/4 * 2/5 = 6/20, which simplifies to 3/10.

Front

If 2/3 of the students are girls and 1/4 of those girls wear glasses, what fraction of all students are girls who wear glasses?

Back

2/3 * 1/4 = 2/12, which simplifies to 1/6 of all students.