Simplify Fractions: Simplify the fractions before multiplying if possible. Both 6 and 8 can be divided by 2 to simplify the first fraction. 6 ÷ 2 = 3 8 ÷ 2 = 4 So, (6/8) simplifies to (3/4).Check Second Fraction: Check if the second fraction (7/8) can be simplified. Since 7 is a prime number and 8 cannot be divided by 7 to give a whole number, the fraction (7/8) cannot be simplified further.Multiply Fractions: Multiply the simplified first fraction by the second fraction. (3/4) × (7/8) = (3 × 7) / (4 × 8) Calculate the numerator and the denominator separately.Calculate Numerator: Calculate the numerator. 3 × 7 = 21Calculate Denominator: Calculate the denominator. 4 × 8 = 32Write Product: Write the product of the two fractions. (3/4) × (7/8) = 21/32 This fraction cannot be simplified further as 21 and 32 have no common factors other than 1.

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$\left(\frac{6}{8}\right)\times\left(\frac{7}{8}\right)$

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Algebra 1

Multiplication with rational exponents

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\left(\frac{6}{8}\right)\times\left(\frac{7}{8}\right)

Simplify Fractions: Simplify the fractions before multiplying if possible. $\newline$ Both $6$ and $8$ can be divided by $2$ to simplify the first fraction. $\newline$ $6 \div 2 = 3$ $\newline$ $8 \div 2 = 4$ $\newline$ So, $(\frac{6}{8})$ simplifies to $(\frac{3}{4})$ .
Check Second Fraction: Check if the second fraction $(\frac{7}{8})$ can be simplified. $\newline$ Since $7$ is a prime number and $8$ cannot be divided by $7$ to give a whole number, the fraction $(\frac{7}{8})$ cannot be simplified further.
Multiply Fractions: Multiply the simplified first fraction by the second fraction. $\newline$ $(\frac{3}{4}) \times (\frac{7}{8}) = (\frac{3 \times 7}{4 \times 8})$ $\newline$ Calculate the numerator and the denominator separately.
Calculate Numerator: Calculate the numerator. $\newline$ $3 \times 7 = 21$
Calculate Denominator: Calculate the denominator. $4 \times 8 = 32$
Write Product: Write the product of the two fractions. $\newline$ $(\frac{3}{4}) \times (\frac{7}{8}) = \frac{21}{32}$ $\newline$ This fraction cannot be simplified further as $21$ and $32$ have no common factors other than $1$ .