/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 68 Perform the indicated operation.... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{13}+\frac{2}{13}$$

Short Answer

Expert verified
The result of this operation is \(\frac{7}{13}\).

Step by step solution

01

Identify the Denominator

In this step, we identify the denominators of the fractions. Both fractions, \(\frac{5}{13}\) and \(\frac{2}{13}\), share the same denominator, which is 13. This will simplify the addition process.
02

Addition of Fractions

As the fractions have the same denominator, the addition becomes a straightforward process. We add the numerators and put the result over the common denominator: \(\frac{5+2}{13} = \frac{7}{13}\).
03

Simplify to the Lowest Term

Examine if the resulting fraction can be reduced to its lowest term. In this case, \(\frac{7}{13}\) cannot be simplified further, as 7 and 13 have no common factors apart from 1. Hence, \(\frac{7}{13}\) is the simplest form of the fraction.

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