Perform the operation and simplify the answer fully. (7)/(10)*(5)/(4) Answer:

Multiply Numerators: Multiply the numerators together. We have two fractions, (7)/(10) and (5)/(4). To multiply fractions, we multiply the numerators (the top numbers) together. 7 * 5 = 35Multiply Denominators: Multiply the denominators together. Similarly, we multiply the denominators (the bottom numbers) of the fractions together. 10 * 4 = 40Write Result as Fraction: Write the result as a fraction. The result of the multiplication is the numerator found in Step 1 over the denominator found in Step 2. (35)/(40)Simplify Fraction: Simplify the fraction. We look for the greatest common divisor (GCD) of 35 and 40 to simplify the fraction. The GCD of 35 and 40 is 5.Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. 35 ÷ 5 = 7 40 ÷ 5 = 8 So, (35)/(40) simplifies to (7)/(8).

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Perform the operation and simplify the answer fully.

(7)/(10)*(5)/(4)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{7}{10} \cdot \frac{5}{4}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{7}{10} \cdot \frac{5}{4}

\newline

Answer:

Multiply Numerators: Multiply the numerators together. $\newline$ We have two fractions, $(7)/(10)$ and $(5)/(4)$ . To multiply fractions, we multiply the numerators (the top numbers) together. $\newline$ $7 \times 5 = 35$
Multiply Denominators: Multiply the denominators together. $\newline$ Similarly, we multiply the denominators (the bottom numbers) of the fractions together. $\newline$ $10 \times 4 = 40$
Write Result as Fraction: Write the result as a fraction. $\newline$ The result of the multiplication is the numerator found in Step $1$ over the denominator found in Step $2$ . $\newline$ $(35)/(40)$
Simplify Fraction: Simplify the fraction. $\newline$ We look for the greatest common divisor (GCD) of $35$ and $40$ to simplify the fraction. The GCD of $35$ and $40$ is $5$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $35 \div 5 = 7$ $\newline$ $40 \div 5 = 8$ $\newline$ So, $\frac{35}{40}$ simplifies to $\frac{7}{8}$ .