Simplify: -(2)/(7)×(-3(5)/(8))

Question prompt: Question prompt: What is the simplified form of the expression -$ \frac{2}{7} \times -\frac{3 \times 5}{8} $?Multiply fractions: Multiply the numerators together and the denominators together. $-\frac{2}{7} \times -\frac{3 \times 5}{8} = \frac{2 \times 3 \times 5}{7 \times 8}$Calculate numerator product: Calculate the product of the numerators. $2 \times 3 \times 5 = 6 \times 5 = 30$Calculate denominator product: Calculate the product of the denominators. $7 \times 8 = 56$Combine results: Combine the results of Step 2 and Step 3. $\frac{30}{56}$Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 30 and 56 is 2.Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\frac{30}{56} = \frac{30 \div 2}{56 \div 2} = \frac{15}{28}$

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Simplify: $\newline$ $-\frac{2}{7} \times\left(-3 \frac{5}{8}\right)$

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Math Problems

Algebra 1

Evaluate integers raised to rational exponents

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Q. Simplify:

\newline

-\frac{2}{7} \times\left(-3 \frac{5}{8}\right)

Question prompt: Question prompt: What is the simplified form of the expression - $\frac{2}{7} \times -\frac{3 \times 5}{8}$ ?
Multiply fractions: Multiply the numerators together and the denominators together. $\newline$ $-\frac{2}{7} \times -\frac{3 \times 5}{8} = \frac{2 \times 3 \times 5}{7 \times 8}$
Calculate numerator product: Calculate the product of the numerators. $\newline$ $2 \times 3 \times 5 = 6 \times 5 = 30$
Calculate denominator product: Calculate the product of the denominators. $\newline$ $7 \times 8 = 56$
Combine results: Combine the results of Step $2$ and Step $3$ . $\newline$ $\frac{30}{56}$
Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $30$ and $56$ is $2$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $\frac{30}{56} = \frac{30 \div 2}{56 \div 2} = \frac{15}{28}$