Solve (3/4*8/27)div8/9+1/4

$$( \frac { 3 } { 4 } \times \frac { 8 } { 27 } ) \div \frac { 8 } { 9 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{3}{4} times \frac{8}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 8}{4\times 27}}{\frac{8}{9}}+\frac{1}{4}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 27}.

$$\frac{\frac{24}{108}}{\frac{8}{9}}+\frac{1}{4}$$

Reduce the fraction \frac{24}{108} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{2}{9}}{\frac{8}{9}}+\frac{1}{4}$$

Divide \frac{2}{9} by \frac{8}{9} by multiplying \frac{2}{9} by the reciprocal of \frac{8}{9}.

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

Multiply \frac{2}{9} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 9 in both numerator and denominator.

$$\frac{2}{8}+\frac{1}{4}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{1}{4}$$

Since \frac{1}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{4}$$

Add 1 and 1 to get 2.

$$\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$