Simplify First Term: Simplify the first term 5(4)/(5). The 5 in the numerator and the 5 in the denominator will cancel each other out because any number divided by itself is 1. So, 5(4)/(5) = 4.Simplify Second Term: Simplify the second term (-3(2)/(7)). This is a multiplication of -3 and 2/7. So, -3(2)/(7) = -3 * 2/7 = -6/7.Add Results: Add the results from Step 1 and Step 2. We have 4 from the first term and -6/7 from the second term. So, 4 + (-6/7) = 4 - 6/7. To add these, we need a common denominator. The common denominator is 7.Convert to Common Denominator: Convert the whole number to a fraction with the common denominator. 4 can be written as 4 * 7/7, which is 28/7. So, 4 - 6/7 = 28/7 - 6/7.Perform Subtraction: Perform the subtraction with the common denominator. Now that we have a common denominator, we can subtract the numerators. 28/7 - 6/7 = (28 - 6)/7 = 22/7.

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$5 \frac{4}{5}+\left(-3 \frac{2}{7}\right)$

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Algebra 1

Multiplication with rational exponents

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5 \frac{4}{5}+\left(-3 \frac{2}{7}\right)

Simplify First Term: Simplify the first term $5(4)/(5)$ . The $5$ in the numerator and the $5$ in the denominator will cancel each other out because any number divided by itself is $1$ . So, $5(4)/(5) = 4$ .
Simplify Second Term: Simplify the second term $-3\left(\frac{2}{7}\right)$ . This is a multiplication of $-3$ and $\frac{2}{7}$ . So, $-3\left(\frac{2}{7}\right) = -3 \times \frac{2}{7} = -\frac{6}{7}$ .
Add Results: Add the results from Step $1$ and Step $2$ . $\newline$ We have $4$ from the first term and $-\frac{6}{7}$ from the second term. $\newline$ So, $4 + (-\frac{6}{7}) = 4 - \frac{6}{7}$ . $\newline$ To add these, we need a common denominator. The common denominator is $7$ .
Convert to Common Denominator: Convert the whole number to a fraction with the common denominator. $\newline$ $4$ can be written as $4 \times \frac{7}{7}$ , which is $\frac{28}{7}$ . $\newline$ So, $4 - \frac{6}{7} = \frac{28}{7} - \frac{6}{7}$ .
Perform Subtraction: Perform the subtraction with the common denominator. $\newline$ Now that we have a common denominator, we can subtract the numerators. $\newline$ $\frac{28}{7} - \frac{6}{7} = \frac{28 - 6}{7} = \frac{22}{7}$ .