Solve 0.5div4/9=/8

$$0.5 \div \frac { 4 } { 9 } = \frac { } { 8 }$$

Verify

Solution Steps

Divide 0.5 by \frac{4}{9} by multiplying 0.5 by the reciprocal of \frac{4}{9}.

$$0.5\times \frac{9}{4}=\frac{1}{8}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{9}{4}=\frac{1}{8}$$

Multiply \frac{1}{2} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{2\times 4}=\frac{1}{8}$$

Do the multiplications in the fraction \frac{1\times 9}{2\times 4}.

$$\frac{9}{8}=\frac{1}{8}$$

Compare \frac{9}{8} and \frac{1}{8}.

$$\text{false}$$