Solve 91/4div83/8div51/4

$$9 \frac{ 1 }{ 4 } \div 8 \frac{ 3 }{ 8 } \div 5 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{296}{1407}\approx 0.210376688$$

Solution Steps

Divide \frac{\frac{9\times 4+1}{4}}{\frac{8\times 8+3}{8}} by \frac{5\times 4+1}{4} by multiplying \frac{\frac{9\times 4+1}{4}}{\frac{8\times 8+3}{8}} by the reciprocal of \frac{5\times 4+1}{4}.

$$\frac{\frac{9\times 4+1}{4}\times 4}{\frac{8\times 8+3}{8}\left(5\times 4+1\right)}$$

Multiply 9 and 4 to get 36.

$$\frac{\frac{36+1}{4}\times 4}{\frac{8\times 8+3}{8}\left(5\times 4+1\right)}$$

Add 36 and 1 to get 37.

$$\frac{\frac{37}{4}\times 4}{\frac{8\times 8+3}{8}\left(5\times 4+1\right)}$$

Cancel out 4 and 4.

$$\frac{37}{\frac{8\times 8+3}{8}\left(5\times 4+1\right)}$$

Multiply 8 and 8 to get 64.

$$\frac{37}{\frac{64+3}{8}\left(5\times 4+1\right)}$$

Add 64 and 3 to get 67.

$$\frac{37}{\frac{67}{8}\left(5\times 4+1\right)}$$

Multiply 5 and 4 to get 20.

$$\frac{37}{\frac{67}{8}\left(20+1\right)}$$

Add 20 and 1 to get 21.

$$\frac{37}{\frac{67}{8}\times 21}$$

Express \frac{67}{8}\times 21 as a single fraction.

$$\frac{37}{\frac{67\times 21}{8}}$$

Multiply 67 and 21 to get 1407.

$$\frac{37}{\frac{1407}{8}}$$

Divide 37 by \frac{1407}{8} by multiplying 37 by the reciprocal of \frac{1407}{8}.

$$37\times \frac{8}{1407}$$

Express 37\times \frac{8}{1407} as a single fraction.

$$\frac{37\times 8}{1407}$$

Multiply 37 and 8 to get 296.

$$\frac{296}{1407}$$

Factor

$$\frac{2 ^ {3} \cdot 37}{3 \cdot 7 \cdot 67} = 0.2103766879886283$$