Which expression is equivalent to -10(1)/(5)+(-6(3)/(5)) ? 10(1)/(5)-(-6(3)/(5)) -6(3)/(5)-10(1)/(5) -10(1)/(5)+6(3)/(5) 6(3)/(5)+(-10(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. -10(1)/(5) + (-6(3)/(5)) can be simplified by adding the fractions since they have a common denominator.Convert to improper fractions: Convert the mixed numbers to improper fractions. -10(1)/(5) is the same as -10 + 1/5, which is -50/5 + 1/5 = -49/5. -6(3)/(5) is the same as -6 + 3/5, which is -30/5 + 3/5 = -27/5.Add fractions: Add the improper fractions. Now we add -49/5 and -27/5. (-49/5) + (-27/5) = (-49 - 27)/5 = -76/5.Convert to mixed number: Convert the result back to a mixed number if necessary. -76/5 as a mixed number is -15(1)/(5) because -75/5 is -15 and we have 1 left over.Check answer choices: Check the answer choices to find the equivalent expression. The equivalent expression to -10(1)/(5) + (-6(3)/(5)) is -15(1)/(5), which is not listed in the answer choices directly. However, we can see that -10(1)/(5) + (-6(3)/(5)) is the original expression, so the equivalent expression is the same as the original.

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Which expression is equivalent to
-10(1)/(5)+(-6(3)/(5)) ?

10(1)/(5)-(-6(3)/(5))

-6(3)/(5)-10(1)/(5)

-10(1)/(5)+6(3)/(5)

6(3)/(5)+(-10(1)/(5))

Which expression is equivalent to $-10 \frac{1}{5}+\left(-6 \frac{3}{5}\right)$ ? $\newline$ $10 \frac{1}{5}-\left(-6 \frac{3}{5}\right)$ $\newline$ $-6 \frac{3}{5}-10 \frac{1}{5}$ $\newline$ $-10 \frac{1}{5}+6 \frac{3}{5}$ $\newline$ $6 \frac{3}{5}+\left(-10 \frac{1}{5}\right)$

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Math Problems

Algebra 1

Multiplication with rational exponents

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Q. Which expression is equivalent to

-10 \frac{1}{5}+\left(-6 \frac{3}{5}\right)

\newline

10 \frac{1}{5}-\left(-6 \frac{3}{5}\right)

\newline

-6 \frac{3}{5}-10 \frac{1}{5}

\newline

-10 \frac{1}{5}+6 \frac{3}{5}

\newline

6 \frac{3}{5}+\left(-10 \frac{1}{5}\right)

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. $\newline$ $-10\left(\frac{1}{5}\right) + \left(-6\left(\frac{3}{5}\right)\right)$ can be simplified by adding the fractions since they have a common denominator.
Convert to improper fractions: Convert the mixed numbers to improper fractions. $\newline$ $-10\left(\frac{1}{5}\right)$ is the same as $-10 + \frac{1}{5}$ , which is $-\frac{50}{5} + \frac{1}{5} = -\frac{49}{5}$ . $\newline$ $-6\left(\frac{3}{5}\right)$ is the same as $-6 + \frac{3}{5}$ , which is $-\frac{30}{5} + \frac{3}{5} = -\frac{27}{5}$ .
Add fractions: Add the improper fractions. $\newline$ Now we add $-\frac{49}{5}$ and $-\frac{27}{5}$ . $\newline$ $(-\frac{49}{5}) + (-\frac{27}{5}) = (-49 - 27)/5 = -\frac{76}{5}$ .
Convert to mixed number: Convert the result back to a mixed number if necessary. $\newline$ $-\frac{76}{5}$ as a mixed number is $-15\frac{1}{5}$ because $-\frac{75}{5}$ is $-15$ and we have $1$ left over.
Check answer choices: Check the answer choices to find the equivalent expression. $\newline$ The equivalent expression to $-10\left(\frac{1}{5}\right) + \left(-6\left(\frac{3}{5}\right)\right)$ is $-15\left(\frac{1}{5}\right)$ , which is not listed in the answer choices directly. However, we can see that $-10\left(\frac{1}{5}\right) + \left(-6\left(\frac{3}{5}\right)\right)$ is the original expression, so the equivalent expression is the same as the original.