Which expression is equivalent to -8(1)/(3)+(-8(1)/(4)) ? 8(1)/(3)+(-8(1)/(4)) -8(1)/(4)-(-8(1)/(3)) -8(1)/(3)-8(1)/(4) -8(1)/(4)+8(1)/(3)

Understand the problem: Understand the problem. We need to find the expression equivalent to the given expression -8(1)/(3)+(-8(1)/(4)). This involves adding two fractions with different denominators.Find common denominator: Find a common denominator for the fractions. The denominators are 3 and 4. The least common multiple of 3 and 4 is 12, so we will use 12 as the common denominator.Convert to equivalent fractions: Convert each fraction to an equivalent fraction with a denominator of 12. For -8(1)/(3), multiply the numerator and denominator by 4 to get -8(4)/(12). For -8(1)/(4), multiply the numerator and denominator by 3 to get -8(3)/(12).Add equivalent fractions: Add the equivalent fractions. Now we have -8(4)/(12) + (-8(3)/(12)). Combine the numerators: -8*4 + (-8*3) = -32 - 24 = -56. So the combined fraction is -56/12.Simplify the fraction: Simplify the fraction. -56/12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4. -56 ÷ 4 = -14 and 12 ÷ 4 = 3. So, -56/12 simplifies to -14/3.Write final expression: Write the final expression. The equivalent expression to the original problem is -14/3.

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Which expression is equivalent to
-8(1)/(3)+(-8(1)/(4)) ?

8(1)/(3)+(-8(1)/(4))

-8(1)/(4)-(-8(1)/(3))

-8(1)/(3)-8(1)/(4)

-8(1)/(4)+8(1)/(3)

Which expression is equivalent to $-8 \frac{1}{3}+\left(-8 \frac{1}{4}\right)$ ? $\newline$ $8 \frac{1}{3}+\left(-8 \frac{1}{4}\right)$ $\newline$ $-8 \frac{1}{4}-\left(-8 \frac{1}{3}\right)$ $\newline$ $-8 \frac{1}{3}-8 \frac{1}{4}$ $\newline$ $-8 \frac{1}{4}+8 \frac{1}{3}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

-8 \frac{1}{3}+\left(-8 \frac{1}{4}\right)

\newline

8 \frac{1}{3}+\left(-8 \frac{1}{4}\right)

\newline

-8 \frac{1}{4}-\left(-8 \frac{1}{3}\right)

\newline

-8 \frac{1}{3}-8 \frac{1}{4}

\newline

-8 \frac{1}{4}+8 \frac{1}{3}

Understand the problem: Understand the problem. $\newline$ We need to find the expression equivalent to the given expression $-8\left(\frac{1}{3}\right)+\left(-8\left(\frac{1}{4}\right)\right)$ . This involves adding two fractions with different denominators.
Find common denominator: Find a common denominator for the fractions. $\newline$ The denominators are $3$ and $4$ . The least common multiple of $3$ and $4$ is $12$ , so we will use $12$ as the common denominator.
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with a denominator of $12$ . $\newline$ For $-8\left(\frac{1}{3}\right)$ , multiply the numerator and denominator by $4$ to get $-8\left(\frac{4}{12}\right)$ . $\newline$ For $-8\left(\frac{1}{4}\right)$ , multiply the numerator and denominator by $3$ to get $-8\left(\frac{3}{12}\right)$ .
Add equivalent fractions: Add the equivalent fractions. $\newline$ Now we have $-8\left(\frac{4}{12}\right) + \left(-8\left(\frac{3}{12}\right)\right)$ . $\newline$ Combine the numerators: $-8\times 4 + \left(-8\times 3\right) = -32 - 24 = -56$ . $\newline$ So the combined fraction is $-\frac{56}{12}$ .
Simplify the fraction: Simplify the fraction. $\newline$ $-\frac{56}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $-56 \div 4 = -14$ and $12 \div 4 = 3$ . $\newline$ So, $-\frac{56}{12}$ simplifies to $-\frac{14}{3}$ .
Write final expression: Write the final expression. $\newline$ The equivalent expression to the original problem is $-\frac{14}{3}$ .