Solve (36-4)div36^2-8*36+16/36+4

$$(36-4) \div \frac{ { 36 }^{ 2 } -8 \times 36+16 }{ 36+4 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Subtract 4 from 36 to get 32.

$$\frac{32}{\frac{36^{2}-8\times 36+16}{36+4}}$$

Calculate 36 to the power of 2 and get 1296.

$$\frac{32}{\frac{1296-8\times 36+16}{36+4}}$$

Multiply 8 and 36 to get 288.

$$\frac{32}{\frac{1296-288+16}{36+4}}$$

Subtract 288 from 1296 to get 1008.

$$\frac{32}{\frac{1008+16}{36+4}}$$

Add 1008 and 16 to get 1024.

$$\frac{32}{\frac{1024}{36+4}}$$

Add 36 and 4 to get 40.

$$\frac{32}{\frac{1024}{40}}$$

Reduce the fraction \frac{1024}{40} to lowest terms by extracting and canceling out 8.

$$\frac{32}{\frac{128}{5}}$$

Divide 32 by \frac{128}{5} by multiplying 32 by the reciprocal of \frac{128}{5}.

$$32\times \frac{5}{128}$$

Express 32\times \frac{5}{128} as a single fraction.

$$\frac{32\times 5}{128}$$

Multiply 32 and 5 to get 160.

$$\frac{160}{128}$$

Reduce the fraction \frac{160}{128} to lowest terms by extracting and canceling out 32.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$