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Chapter 1: Problem 74

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{13}{18}-\frac{5}{18}$$

Short Answer

Expert verified
The result of the subtraction \( \frac{13}{18}-\frac{5}{18} \) is \( \frac{4}{9} \).

Step by step solution

01

Identify the Fractions for Subtraction

You have two fractions \( \frac{13}{18} \) and \( \frac{5}{18} \). Both these fractions have the same denominator, and therefore can be subtracted directly.
02

Subtract the Numerators

Subtract the numerators of the two fractions. The numerator of the resulting fraction will be \(13 - 5 = 8\). The denominator remains the same, which is 18. So the fractional result is \( \frac{8}{18} \).
03

Simplify the Fraction

Find the Greatest Common Divisor (GCD) of 8 and 18 to simplify the fraction. The GCD of 8 and 18 is 2. Divide both the numerator and the denominator by 2. The simplified form of the fraction will be \( \frac{4}{9} \).

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Most popular questions from this chapter

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The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)
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