Solve 9997/8+997/8+97/8+3/8

$$999 \frac { 7 } { 8 } + 99 \frac { 7 } { 8 } + 9 \frac { 7 } { 8 } + \frac { 3 } { 8 }$$

Evaluate

$$1110$$

Solution Steps

Multiply 999 and 8 to get 7992.

$$\frac{7992+7}{8}+\frac{99\times 8+7}{8}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Add 7992 and 7 to get 7999.

$$\frac{7999}{8}+\frac{99\times 8+7}{8}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Multiply 99 and 8 to get 792.

$$\frac{7999}{8}+\frac{792+7}{8}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Add 792 and 7 to get 799.

$$\frac{7999}{8}+\frac{799}{8}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Since \frac{7999}{8} and \frac{799}{8} have the same denominator, add them by adding their numerators.

$$\frac{7999+799}{8}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Add 7999 and 799 to get 8798.

$$\frac{8798}{8}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Reduce the fraction \frac{8798}{8} to lowest terms by extracting and canceling out 2.

$$\frac{4399}{4}+\frac{9\times 8+7}{8}+\frac{3}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{4399}{4}+\frac{72+7}{8}+\frac{3}{8}$$

Add 72 and 7 to get 79.

$$\frac{4399}{4}+\frac{79}{8}+\frac{3}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{4399}{4} and \frac{79}{8} to fractions with denominator 8.

$$\frac{8798}{8}+\frac{79}{8}+\frac{3}{8}$$

Since \frac{8798}{8} and \frac{79}{8} have the same denominator, add them by adding their numerators.

$$\frac{8798+79}{8}+\frac{3}{8}$$

Add 8798 and 79 to get 8877.

$$\frac{8877}{8}+\frac{3}{8}$$

Since \frac{8877}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{8877+3}{8}$$

Add 8877 and 3 to get 8880.

$$\frac{8880}{8}$$

Divide 8880 by 8 to get 1110.

$$1110$$

Factor

$$2\times 3\times 5\times 37$$