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 is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

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 1 1/2.

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 result over the original denominator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. It is used to add or subtract fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

What is the result of 2/3 - 1 4/7?

Back

The result is 1/3.

Front

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

Back

The result is 4 8/9.

Front

What is the result of 3/8 ÷ 3/4 - 2/6?

Back

The result is 1/6.