What is the result of 6 divided by StartFraction 3 Over 8 EndFraction?

Question

6 fraction bars. All fraction bars are labeled 1 with 8 boxes underneath that are labeled one-eighth.

One-eighth
One-fourth
16
48

Answer 1

To divide 6 by the fraction \( \frac{3}{8} \), you can multiply 6 by the reciprocal of \( \frac{3}{8} \).

The reciprocal of \( \frac{3}{8} \) is \( \frac{8}{3} \).

So, the calculation is:

\[ 6 \div \frac{3}{8} = 6 \times \frac{8}{3} \]

Now, calculate:

\[ 6 \times \frac{8}{3} = \frac{6 \times 8}{3} = \frac{48}{3} = 16 \]

Thus, the result of \( 6 \div \frac{3}{8} \) is 16.