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

11234

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

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

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.

112+34=112+3343=112+912=1+912=812

04

Step 4. Simplify the result.

Write the fraction with factor form and then simplify it.

=2×2×22×2×3=23

Therefore, the simplest form is 23.

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