Order of Operations with Fractions

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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 reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

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 convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/3 = (2×3 + 1)/3 = 7/3.

Front

What is the result of 8/9 ÷ 2 ÷ 8?

Back

The result is 1/18.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is the result of 1 1/2 ÷ 1/6 - 7/8?

Back

The result is 8 1/8.

Front

What is the result of 3 1/3 ÷ 5/6 + 8/9?

Back

The result is 4 8/9.