Dividing Fractions & Mixed Numbers

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 2/5 by 3/4, you multiply 2/5 by 4/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 1 3/4 is a mixed number.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

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). For example, to simplify 8/12, divide both by 4 to get 2/3.

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. For example, the GCD of 8 and 12 is 4.

Front

What is the result of 2/5 divided by 3/4?

Back

The result is 8/15.

Front

How do you write 1 7/8 as an improper fraction?

Back

To convert 1 7/8 to an improper fraction, multiply the whole number (1) by the denominator (8) and add the numerator (7): (1*8 + 7)/8 = 15/8.

Front

What is the result of 2 14/15 as an improper fraction?

Back

The result is 44/15.

Front

What is the process for converting a 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.