(20)/(100) x (x)/( 245)

Simplify Fraction: Simplify the fraction (20)/(100). To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). The GCD of 20 and 100 is 20. (20)/(100) = (20 ÷ 20)/(100 ÷ 20) = 1/5Write Simplified Expression: Write the simplified expression with the remaining fraction. Now that we have simplified (20)/(100) to 1/5, we can rewrite the original expression as: (1/5) * (x/245)Multiply Fractions: Multiply the two fractions. To multiply fractions, multiply the numerators together and the denominators together. (1/5) * (x/245) = (1 * x) / (5 * 245)Simplify Resulting Fraction: Simplify the resulting fraction. Since there is no common factor between the numerator and the denominator, the fraction is already in its simplest form. (1 * x) / (5 * 245) = x / (5 * 245)Calculate Denominator: Calculate the denominator. Multiply 5 by 245 to get the denominator. 5 * 245 = 1225Write Final Expression: Write the final simplified expression. The final simplified expression is: x / 1225

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$\frac{20}{100} \times \frac{x}{245}$

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Algebra 1

Multiplication with rational exponents

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\frac{20}{100} \times \frac{x}{245}

Simplify Fraction: Simplify the fraction $(20)/(100)$ . $\newline$ To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). The GCD of $20$ and $100$ is $20$ . $\newline$ $(20)/(100) = (20 \div 20)/(100 \div 20) = 1/5$
Write Simplified Expression: Write the simplified expression with the remaining fraction. $\newline$ Now that we have simplified $(20)/(100)$ to $1/5$ , we can rewrite the original expression as: $\newline$ $(1/5) \times (x/245)$
Multiply Fractions: Multiply the two fractions. $\newline$ To multiply fractions, multiply the numerators together and the denominators together. $\newline$ $(\frac{1}{5}) \times (\frac{x}{245}) = (\frac{1 \times x}{5 \times 245})$
Simplify Resulting Fraction: Simplify the resulting fraction. $\newline$ Since there is no common factor between the numerator and the denominator, the fraction is already in its simplest form. $\newline$ $(1 \times x) / (5 \times 245) = x / (5 \times 245)$
Calculate Denominator: Calculate the denominator. $\newline$ Multiply $5$ by $245$ to get the denominator. $\newline$ $5 \times 245 = 1225$
Write Final Expression: Write the final simplified expression. $\newline$ The final simplified expression is: $\newline$ $\frac{x}{1225}$