Solve (35516*938+9000)div(9000div160+938)=

$$(35516 \cdot 938+9000) \div (9000 \div 160+938)=$$

Evaluate

$$\frac{133292032}{3977}\approx 33515.723409605$$

Solution Steps

Multiply 35516 and 938 to get 33314008.

$$\frac{33314008+9000}{\frac{9000}{160}+938}$$

Add 33314008 and 9000 to get 33323008.

$$\frac{33323008}{\frac{9000}{160}+938}$$

Reduce the fraction \frac{9000}{160} to lowest terms by extracting and canceling out 40.

$$\frac{33323008}{\frac{225}{4}+938}$$

Convert 938 to fraction \frac{3752}{4}.

$$\frac{33323008}{\frac{225}{4}+\frac{3752}{4}}$$

Since \frac{225}{4} and \frac{3752}{4} have the same denominator, add them by adding their numerators.

$$\frac{33323008}{\frac{225+3752}{4}}$$

Add 225 and 3752 to get 3977.

$$\frac{33323008}{\frac{3977}{4}}$$

Divide 33323008 by \frac{3977}{4} by multiplying 33323008 by the reciprocal of \frac{3977}{4}.

$$33323008\times \frac{4}{3977}$$

Express 33323008\times \frac{4}{3977} as a single fraction.

$$\frac{33323008\times 4}{3977}$$

Multiply 33323008 and 4 to get 133292032.

$$\frac{133292032}{3977}$$

Factor

$$\frac{2 ^ {13} \cdot 53 \cdot 307}{41 \cdot 97} = 33515\frac{2877}{3977} = 33515.72340960523$$