What is the product of (2)/(10)*(4)/(5)*(3)/(2) ? Express your answer in the simplest fraction.

Simplify fractions: Simplify each fraction to its lowest terms. (2/10) can be simplified to (1/5) because 2 is a common factor of both the numerator and the denominator. (4/5) is already in its simplest form. (3/2) is already in its simplest form.Multiply fractions: Multiply the simplified fractions. (1/5) * (4/5) * (3/2) First, multiply the numerators: 1 * 4 * 3 = 12 Then, multiply the denominators: 5 * 5 * 2 = 50 So, the product of the fractions is (12/50).Simplify result: Simplify the resulting fraction to its lowest terms. (12/50) can be simplified because 2 is a common factor of both the numerator and the denominator. Divide both the numerator and the denominator by 2: (12 ÷ 2) / (50 ÷ 2) = (6/25)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the product of $(\frac{2}{10})\cdot(\frac{4}{5})\cdot(\frac{3}{2})$ ? Express your answer in the simplest fraction.

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. What is the product of

(\frac{2}{10})\cdot(\frac{4}{5})\cdot(\frac{3}{2})

? Express your answer in the simplest fraction.

Simplify fractions: Simplify each fraction to its lowest terms. $\newline$ $(2/10)$ can be simplified to $(1/5)$ because $2$ is a common factor of both the numerator and the denominator. $\newline$ $(4/5)$ is already in its simplest form. $\newline$ $(3/2)$ is already in its simplest form.
Multiply fractions: Multiply the simplified fractions. $\newline$ $(\frac{1}{5}) * (\frac{4}{5}) * (\frac{3}{2})$ $\newline$ First, multiply the numerators: $1 * 4 * 3 = 12$ $\newline$ Then, multiply the denominators: $5 * 5 * 2 = 50$ $\newline$ So, the product of the fractions is $(\frac{12}{50})$ .
Simplify result: Simplify the resulting fraction to its lowest terms. $\newline$ $(12/50)$ can be simplified because $2$ is a common factor of both the numerator and the denominator. $\newline$ Divide both the numerator and the denominator by $2$ : $(12 \div 2) / (50 \div 2) = (6/25)$