Calculate the equivalent fraction of 1/2 with a denominator of 8.

• A. 3/8
• B. 4/8
• C. 5/8
• D. 6/8

Answer: (B)

To find an equivalent fraction of ( \frac{1}{2} ) with a denominator of 8, you can multiply both the numerator and the denominator of the fraction ( \frac{1}{2} ) by the same number. Since you want the denominator to be 8, you can determine what multiple of 2 gives you 8.

Since ( 2 \times 4 = 8 ), you then multiply both the numerator and denominator by 4:

[

\frac{1 \times 4}{2 \times 4} = \frac{4}{8}

]

Thus, ( \frac{4}{8} ) is equivalent to ( \frac{1}{2} ) as both represent the same value. When you divide 4 by 8, it reduces to ( \frac{1}{2} ), confirming that they are indeed equivalent fractions. This demonstrates how multiplying the numerator and denominator by the same number preserves the value of the fraction.