What is the result of the expression 3/8 x 2/3 x 4/5 x 5/8 in lowest terms?

What is the result of the expression 3/8 x 2/3 x 4/5 x 5/8 in lowest terms?

• A. 1/8
• B. 1/4
• C. 1/10
• D. 1/12

Answer: (A)

To find the result of the expression 3/8 × 2/3 × 4/5 × 5/8 in lowest terms, we can multiply the fractions together and simplify as needed. First, let's multiply the numerators and denominators separately: - The numerators are (3 × 2 × 4 × 5) which equals 120. - The denominators are (8 × 3 × 5 × 8) which equals 960. This gives us the expression 120/960. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 120: - 120 ÷ 120 = 1 - 960 ÷ 120 = 8 Therefore, the simplified fraction is 1/8. The correct answer is indeed 1/8, as this fraction represents the lowest terms after performing the multiplication and simplification steps accurately.

To find the result of the expression 3/8 × 2/3 × 4/5 × 5/8 in lowest terms, we can multiply the fractions together and simplify as needed.

First, let's multiply the numerators and denominators separately:

• The numerators are (3 × 2 × 4 × 5) which equals 120.

• The denominators are (8 × 3 × 5 × 8) which equals 960.

This gives us the expression 120/960. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 120:

• 120 ÷ 120 = 1

• 960 ÷ 120 = 8

Therefore, the simplified fraction is 1/8.

The correct answer is indeed 1/8, as this fraction represents the lowest terms after performing the multiplication and simplification steps accurately.