What would 3/8 be equal to when expressed in 16ths?

• A. 4/16
• B. 5/16
• C. 6/16
• D. 7/16

Answer: (C)

To derive the equivalent fraction of 3/8 in terms of sixteenths, it's essential to understand how to convert between fractions.

Start with the fraction 3/8. The goal is to find an equivalent fraction with a denominator of 16. To convert 3/8 to sixteenths, you can multiply both the numerator and the denominator of 3/8 by 2. Here's how it works:

1. Multiply the numerator (3) by 2:

3 x 2 = 6

2. Multiply the denominator (8) by 2:

8 x 2 = 16

This results in the fraction 6/16. Therefore, 3/8 is equivalent to 6/16 when expressed with a denominator of 16.

This process demonstrates the importance of understanding equivalent fractions and the principle of maintaining the same ratio when changing the denominator.