Solved: "perform the indicated operations and express the answers..."

naivlingr

Answered question

2021-10-22

perform the indicated operations and express the answers in simplified form

\frac{(x + 3)}{10} + \frac{(2 x + 1)}{15} - \frac{(x - 2)}{18}

Answer & Explanation

funblogC

Skilled2021-10-23Added 91 answers

Step 1
Given expression is,

\frac{(x + 3)}{10} + \frac{(2 x + 1)}{15} - \frac{(x - 2)}{18}

The objective is to express the answers in simplified form.

\frac{(x + 3)}{10} + \frac{(2 x + 1)}{15} - \frac{(x - 2)}{18}

First, find the least common multiplier of 10, 15, 18.
So, 90 is the least common multiplier of 10, 15, 18.
Step 2
Now,
Adjust the fractions based on the LCM.

\frac{(x + 3)}{10} + \frac{(2 x + 1)}{15} - \frac{(x - 2)}{18}

\frac{(x + 3) \cdot 9}{90} + \frac{(2 x + 1) \cdot 6}{90} - \frac{(x - 2) \cdot 5}{90}

Since the denominators are equal, combine the fractions:

\frac{(x + 3) \cdot 9 + (2 x + 1) \cdot 6 - (x - 2) \cdot 5}{90} = \frac{15 x + 43}{90}

This is the required answer.

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