Solve {2/3-(025div5/8)div3}div31/4

$$\{ \frac { 2 } { 3 } - ( 025 \div \frac { 5 } { 8 } ) \div 3 \} \div 3 \frac { 1 } { 4 }$$

Evaluate

$$\frac{8}{39}\approx 0.205128205$$

Solution Steps

Express \frac{\frac{0\times 25}{\frac{5}{8}}}{3} as a single fraction.

$$\frac{\frac{2}{3}-\frac{0\times 25}{\frac{5}{8}\times 3}}{\frac{3\times 4+1}{4}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{\frac{2}{3}-\frac{0}{\frac{5}{8}}}{\frac{3\times 4+1}{4}}$$

Zero divided by any non-zero number gives zero.

$$\frac{\frac{2}{3}+0}{\frac{3\times 4+1}{4}}$$

Add \frac{2}{3} and 0 to get \frac{2}{3}.

$$\frac{\frac{2}{3}}{\frac{3\times 4+1}{4}}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{2}{3}}{\frac{12+1}{4}}$$

Add 12 and 1 to get 13.

$$\frac{\frac{2}{3}}{\frac{13}{4}}$$

Divide \frac{2}{3} by \frac{13}{4} by multiplying \frac{2}{3} by the reciprocal of \frac{13}{4}.

$$\frac{2}{3}\times \frac{4}{13}$$

Multiply \frac{2}{3} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{3\times 13}$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 13}.

$$\frac{8}{39}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 13} = 0.20512820512820512$$