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# Dividing Fractions by Fractions

We know that division is a strategy for distributing equitably and forming equal groupings. To obtain the quotient, we divide a whole integer by the divisor.

Now, multiplying a fraction by the reciprocal of the second fraction is equivalent to dividing it by another fraction. A straightforward method for switching the numerator and denominator of a fraction is to find its reciprocal.

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## Fractions: How Are They Divided?

Look at the following illustration to learn a straightforward rule for splitting fractions. To Divide Fractions, Follow These 3 Easy Steps:

Step 1: Invert the second fraction you want to divide by so that it becomes a reciprocal.

Step 2: Multiply the initial fraction by its inverse.

Step 3: If necessary, simplify the fraction.

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## Order of Operations Solved Examples:

Example 1: Solve: 2 + 6 × (4 + 5) ÷ 3 5 using PEMDAS.

Solution:

Step 1 – Parentheses : 2+6 × (4 + 5) ÷ 3 – 5 = 2 + 6 × 9 ÷ 3 – 5

Step 2 – Multiplication: 2 + 6 × 9 ÷ 3 – 5 = 2 + 54 ÷ 3 – 5

Step 3 – Division: 2 + 54 ÷ 3 – 5 = 2 + 18 – 5

Step 4 – Addition: 2 + 18 – 5 = 20 – 5

Step 5 – Subtraction: 20 5 = 15

## Order of Operations Practice Problems:

1. Solve 100 ÷ (6 + 7 × 2) 5 using PEMDAS.
2. Solve 600 ÷ (44 + 14 × 4) 5 using PEMDAS.

## Order of Operations FAQS

#### What does PEMDAS stand for?

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition and Subtraction. This acronym is used to help remember the order of operations in mathematics.

#### What is the order of operations in PEMDAS?

The order of operations in PEMDAS is as follows: Parentheses first, then Exponents, then Multiplication and Division (performed left to right), and finally Addition and Subtraction (performed left to right).

#### Why is the order of operations important?

The order of operations is important because it determines the order in which calculations are performed, which can affect the result. It is essential to use the correct order of operations to ensure that the correct result is obtained.

#### What is the meaning of the acronym PEMDAS?

The acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. These terms represent the order in which calculations should be performed in a mathematical expression. Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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