   Chapter 2, Problem 22R

Chapter
Section
Textbook Problem

Perform the indicted operation and simplify: − 3 16 ÷ ( − 2 1 4 )

To determine

To calculate: The simplified form of the expression 316÷(214) by performing indicated operations.

Explanation

Given Information:

The provided expression is 316÷(214).

Formula used:

Multiplication of two signed numbers:

1. Multiplication of two numbers with same sign, the product will be positive.

2. Multiplication of two numbers with different sign, the product will be negative.

These rules apply to fractions also.

Division of the two signed numbers:

1. Division of two numbers with same sign, the quotient will be positive.

2. Division of two numbers with different sign, the quotient will be negative.

These rules apply to fractions also.

Step for simplification:

1. Simplify the mixed fraction, if any,

2. Change to customary form

3. Invert the fraction and multiply.

4. Then, check for the sign of the fraction according to the above rules.

Calculation:

Consider the given expression,

Now to solve and simplify the fractions,

First simplify the mixed fraction:

214=94</

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