Which expression is equivalent to -5(4)/(5)-(-7(1)/(5)) ? -5(4)/(5)+7(1)/(5) -5(4)/(5)-7(1)/(5) 7(1)/(5)-(-5(4)/(5)) 5(4)/(5)+7(1)/(5)

Understand the problem: Understand the problem. We need to find the expression equivalent to the given expression by simplifying it.Simplify the expression: Simplify the given expression. The given expression is -5(4)/(5)-(-7(1)/(5)). We need to simplify this by performing the operations indicated.Simplify first term: Simplify the first term. -5(4)/(5) simplifies to -4 because -5/5 is -1 and -1 multiplied by 4 is -4.Simplify second term: Simplify the second term. -(-7(1)/(5)) simplifies to +7/5 because the double negative becomes positive.Combine simplified terms: Combine the simplified terms. Now we combine -4 and +7/5. To combine these, we need a common denominator.Find common denominator: Find a common denominator. The common denominator for 1 and 5 is 5. We express -4 as a fraction with the denominator 5, which is -20/5.Combine fractions: Combine the fractions. Now we combine -20/5 and +7/5 to get (-20 + 7)/5.Perform addition: Perform the addition. -20 + 7 equals -13, so the combined fraction is -13/5.Write final expression: Write the final expression. The equivalent expression to the original problem is -13/5.

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Which expression is equivalent to
-5(4)/(5)-(-7(1)/(5)) ?

-5(4)/(5)+7(1)/(5)

-5(4)/(5)-7(1)/(5)

7(1)/(5)-(-5(4)/(5))

5(4)/(5)+7(1)/(5)

Which expression is equivalent to $-5 \frac{4}{5}-\left(-7 \frac{1}{5}\right)$ ? $\newline$ $-5 \frac{4}{5}+7 \frac{1}{5}$ $\newline$ $-5 \frac{4}{5}-7 \frac{1}{5}$ $\newline$ $7 \frac{1}{5}-\left(-5 \frac{4}{5}\right)$ $\newline$ $5 \frac{4}{5}+7 \frac{1}{5}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

-5 \frac{4}{5}-\left(-7 \frac{1}{5}\right)

\newline

-5 \frac{4}{5}+7 \frac{1}{5}

\newline

-5 \frac{4}{5}-7 \frac{1}{5}

\newline

7 \frac{1}{5}-\left(-5 \frac{4}{5}\right)

\newline

5 \frac{4}{5}+7 \frac{1}{5}

Understand the problem: Understand the problem. We need to find the expression equivalent to the given expression by simplifying it.
Simplify the expression: Simplify the given expression. $\newline$ The given expression is $-5\left(\frac{4}{5}\right)-\left(-7\left(\frac{1}{5}\right)\right)$ . We need to simplify this by performing the operations indicated.
Simplify first term: Simplify the first term. $\newline$ $-5(4)/(5)$ simplifies to $-4$ because $-5/5$ is $-1$ and $-1$ multiplied by $4$ is $-4$ .
Simplify second term: Simplify the second term. $\newline$ $-(-7(1)/(5))$ simplifies to $+\frac{7}{5}$ because the double negative becomes positive.
Combine simplified terms: Combine the simplified terms. $\newline$ Now we combine $-4$ and $+\frac{7}{5}$ . To combine these, we need a common denominator.
Find common denominator: Find a common denominator. $\newline$ The common denominator for $1$ and $5$ is $5$ . We express $-4$ as a fraction with the denominator $5$ , which is $-\frac{20}{5}$ .
Combine fractions: Combine the fractions. $\newline$ Now we combine $-\frac{20}{5}$ and $+\frac{7}{5}$ to get $\frac{-20 + 7}{5}$ .
Perform addition: Perform the addition. $\newline$ $-20 + 7 = -13$ , so the combined fraction is $-\frac{13}{5}$ .
Write final expression: Write the final expression. $\newline$ The equivalent expression to the original problem is $-\frac{13}{5}.$