   Chapter 2.4, Problem 46E

Chapter
Section
Textbook Problem

Perform the indicated operations and simplify: ( − 4 5 ) ÷ ( − 1 1 2 ) − ( 2 − 5 )

To determine

To calculate: The simplified form of the expression (45)÷(112)(25) by performing the indicated operation.

Explanation

Given Information:

The provided expression is (45)÷(112)(25).

Formula used:

Equivalent signed fractions:

ab=ab=ab

The equivalent signed fraction shows that a negative fraction can be written in three different but equivalent forms.

Where,

ab Is the customary form.

Subtracting two signed numbers includes:

1. In order to subtract two signed numbers, the sign of the number being subtracted must be changed.

2. And then added to the other number in accordance with the rules for addition of signed numbers

And,

Dividing two signed numbers includes:

1. In order to divide two numbers having same sign, their absolute values must be divided. With this a positive quotient will be obtained.

2. And in order to divide two numbers with different signs, their absolute values must be divided and before the quotient a negative sign must be placed.

Calculation:

Consider the expression:

(45)÷(112)(25)

First, change the mixed number to fraction.

(45)÷(112)(25)=(45)÷(32)(25)

Change the given expression to customary form. That is,

(45)÷(32)(25)=(45)÷(32)(25)

First thing is to apply subtraction to the right side portion of the given expression. In order to subtract two signed numbers, the sign of the number being subtracted must be changed and then added in accordance with the rules for addition of signed numbers. That is,

(45)÷(32)(25)=(45)÷(32)+(25)

Invert the 32 fraction and multiply it with the first fraction

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