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Chapter 1: Q19. (page 44)

Find each sum or difference. Write in the simplest form.

鈭�112鈭�鈭�34

Short Answer

Expert verified

The simplest form is23.

Step by step solution

01

Step 1. Concept of like and unlike signs.

If there is sign like++ or鈭�鈭� then the resulting sign will be positive and if there is an unlike+鈭� sign鈭�+ or then the resulting will be negative

Thus the simple form of given expression by nature of sign is

鈭�112+34

02

Step 2. Take L.C.M of the denominators of each fraction.

Since, 12 is completely divided by 4.

Thus

L.C.Mof12and4is=12

03

Step 3. Evaluate the sum.

First, make the denominators of all fractions equal to LCM by multiplying the numerator and denominator with an integer. Then add/subtract the numerators directly over the common denominator.

鈭�112+34=鈭�112+3鈰�34鈰�3=鈭�112+912=鈭�1+912=812

04

Step 4. Simplify the result.

Write the fraction with factor form and then simplify it.

=2脳2脳22脳2脳3=23

Therefore, the simplest form is 23.

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