Chapter 1: Q480. (page 95)

Simplify the expression $- \frac{7}{18} + \frac{5}{12}$ .

Short Answer

Expert verified

The simplified expression is $\frac{1}{36}$ .

Step by step solution

Step 1. Given information.

The given expression is $- \frac{7}{18} + \frac{5}{12}$ .

Step 2. Find the LCD(Least Common Denominator) of 12 and 18.

Rewrite the 12 and 18 as the product of the primes and find the LCD.

$12 = 2 \times 2 \times 3 18 = 2 \times 3 \times 3 L C D = 2 \times 2 \times 3 \times 3 = 36$

Step 3. Rewrite each fraction as an equivalent fraction with the LCD.

Simplify the expression.

$- \frac{7}{18} + \frac{5}{12} = - \frac{7 \cdot 2}{18 \cdot 2} + \frac{5 \cdot 3}{12 \cdot 3} = - \frac{14}{36} + \frac{15}{36} = \frac{- 14 + 15}{36} = \frac{1}{36}$

Step 4. Conclusion.

The simplified form of the given expression is $\frac{1}{36}$ .

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Simplify the expression $- \frac{7}{18} + \frac{5}{12}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the LCD(Least Common Denominator) of 12 and 18.

Step 3. Rewrite each fraction as an equivalent fraction with the LCD.

Step 4. Conclusion.

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Simplify the expression -718+512.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the LCD(Least Common Denominator) of 12 and 18.

Step 3. Rewrite each fraction as an equivalent fraction with the LCD.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Simplify the expression $- \frac{7}{18} + \frac{5}{12}$ .