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Chapter 1: Q18. (page 3)

Find each sum or difference. Write in simplest form.

12+49

Short Answer

Expert verified

The simplest form is1718.

Step by step solution

01

Step 1. Take L.C.M of the denominators of each fraction.

The least common multiple (LCM) is the smallest number divisible by all the denominators.

L.C.Mof2and9is=18

02

Step 2. Evaluate the sum.

In order to add or subtract the fractions, first, make both the denominators equal to LCM and then add or subtract the numerators directly over the common denominator as shown below:

12+49=1脳92脳9+4脳29脳2=918+818=9+818=1718

03

Step 3. Simplify the result.

To simplify it further, rewrite the numerator and denominator in factored form and cancel out the common factors to get

1718=17脳118脳1=1718

Therefore, the simplest form is1718.

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