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Multiply. $\newline$ $\frac{4}{5}\times\frac{7}{8}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Multiply.

\newline

\frac{4}{5}\times\frac{7}{8}=

_____

Multiply numerators: Multiply the numerators. $\newline$ Multiply the numerators $4$ and $7$ . $\newline$ $4 \times 7 = 28$
Multiply denominators: Multiply the denominators. $\newline$ Multiply the denominators $5$ and $8$ . $\newline$ $5 \times 8 = 40$
Write result as fraction: Write the result of the multiplication as a new fraction. $\newline$ The result of the multiplication is the numerator (from Step $2$ ) over the denominator (from Step $3$ ). $\newline$ $\frac{28}{40}$
Simplify fraction: Simplify the fraction. $\newline$ The fraction $\frac{28}{40}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $28 \div 4 = 7$ $\newline$ $40 \div 4 = 10$ $\newline$ So, $\frac{28}{40}$ simplifies to $\frac{7}{10}$ .

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