Multiplying Fractions and Mixed Numbers

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 a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you simplify a fraction?

Back

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

Front

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

Back

(2/3) × (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

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

Back

(1/2) × (1/2) = (1*1)/(2*2) = 1/4.

Front

If Ginna owns 5/6 of a land and plants 2/3 of it, what fraction of the whole land is planted?

Back

(5/6) × (2/3) = (5*2)/(6*3) = 10/18 = 5/9.

Front

What fraction of a pan of brownies does George eat if he eats 1/4 of 1/3?

Back

(1/4) × (1/3) = (1*1)/(4*3) = 1/12.