Dividing 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 divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

Front

What is a mixed number?

Back

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

Front

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

Back

Multiply the whole number by the denominator and add the numerator. Place this result over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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 simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

If you have 1/4 of a mile and each runner runs 1/16 of a mile, how many runners are needed?

Back

4 runners are needed.

Front

What is 1/4 ÷ 2/5?

Back

1/4 ÷ 2/5 = 5/8.

Front

If Mr. Gomez has 3/4 of a cake and divides it among 6 guests, how much does each guest get?

Back

Each guest receives 1/8 of the cake.