Solve 077777+07777+0777+077+07+0074/90

$$077777 + 07777 + 0777 + 077 + 07 + 007 \frac { 4 } { 90 }$$

Evaluate

$$\frac{3888992}{45}\approx 86422.044444444$$

Solution Steps

Add 77777 and 7777 to get 85554.

$$85554+777+77+7+\frac{7\times 90+4}{90}$$

Add 85554 and 777 to get 86331.

$$86331+77+7+\frac{7\times 90+4}{90}$$

Add 86331 and 77 to get 86408.

$$86408+7+\frac{7\times 90+4}{90}$$

Add 86408 and 7 to get 86415.

$$86415+\frac{7\times 90+4}{90}$$

Multiply 7 and 90 to get 630.

$$86415+\frac{630+4}{90}$$

Add 630 and 4 to get 634.

$$86415+\frac{634}{90}$$

Reduce the fraction \frac{634}{90} to lowest terms by extracting and canceling out 2.

$$86415+\frac{317}{45}$$

Convert 86415 to fraction \frac{3888675}{45}.

$$\frac{3888675}{45}+\frac{317}{45}$$

Since \frac{3888675}{45} and \frac{317}{45} have the same denominator, add them by adding their numerators.

$$\frac{3888675+317}{45}$$

Add 3888675 and 317 to get 3888992.

$$\frac{3888992}{45}$$

Factor

$$\frac{2 ^ {5} \cdot 121531}{3 ^ {2} \cdot 5} = 86422\frac{2}{45} = 86422.04444444444$$