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Evaluate: $\newline$ $\frac{3}{5}\times\frac{2}{3}=$

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Powers with decimal and fractional bases

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Q. Evaluate:

\newline

\frac{3}{5}\times\frac{2}{3}=

Identify numbers: Identify the numbers to be multiplied. $\newline$ We have two fractions, $(\frac{3}{5})$ and $(\frac{2}{3})$ , that we need to multiply together.
Multiply numerators: Multiply the numerators. $\newline$ To multiply fractions, we multiply the numerators (the top numbers) together. In this case, we multiply $3$ by $2$ . $\newline$ $3 \times 2 = 6$
Multiply denominators: Multiply the denominators. $\newline$ Next, we multiply the denominators (the bottom numbers) together. In this case, we multiply $5$ by $3$ . $\newline$ $5 \times 3 = 15$
Write as fraction: Write the result as a fraction. $\newline$ The product of the numerators goes on top, and the product of the denominators goes on the bottom. $\newline$ So, the result is $(6)/(15)$ .
Simplify fraction: Simplify the fraction if possible. $\newline$ We notice that both the numerator and the denominator are divisible by $3$ , so we can simplify the fraction by dividing both by $3$ . $\newline$ $6 \div 3 = 2$ $\newline$ $15 \div 3 = 5$ $\newline$ The simplified fraction is $\frac{2}{5}$ .

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