Solve 1111/13+1113/13+1114/13+1115/13

$$111 \frac { 1 } { 13 } + 111 \frac { 3 } { 13 } + 111 \frac { 4 } { 13 } + 111 \frac { 5 } { 13 }$$

Evaluate

$$445$$

Solution Steps

Multiply 111 and 13 to get 1443.

$$\frac{1443+1}{13}+\frac{111\times 13+3}{13}+\frac{111\times 13+4}{13}+\frac{111\times 13+5}{13}$$

Add 1443 and 1 to get 1444.

$$\frac{1444}{13}+\frac{111\times 13+3}{13}+\frac{111\times 13+4}{13}+\frac{111\times 13+5}{13}$$

Multiply 111 and 13 to get 1443.

$$\frac{1444}{13}+\frac{1443+3}{13}+\frac{111\times 13+4}{13}+\frac{111\times 13+5}{13}$$

Add 1443 and 3 to get 1446.

$$\frac{1444}{13}+\frac{1446}{13}+\frac{111\times 13+4}{13}+\frac{111\times 13+5}{13}$$

Since \frac{1444}{13} and \frac{1446}{13} have the same denominator, add them by adding their numerators.

$$\frac{1444+1446}{13}+\frac{111\times 13+4}{13}+\frac{111\times 13+5}{13}$$

Add 1444 and 1446 to get 2890.

$$\frac{2890}{13}+\frac{111\times 13+4}{13}+\frac{111\times 13+5}{13}$$

Multiply 111 and 13 to get 1443.

$$\frac{2890}{13}+\frac{1443+4}{13}+\frac{111\times 13+5}{13}$$

Add 1443 and 4 to get 1447.

$$\frac{2890}{13}+\frac{1447}{13}+\frac{111\times 13+5}{13}$$

Since \frac{2890}{13} and \frac{1447}{13} have the same denominator, add them by adding their numerators.

$$\frac{2890+1447}{13}+\frac{111\times 13+5}{13}$$

Add 2890 and 1447 to get 4337.

$$\frac{4337}{13}+\frac{111\times 13+5}{13}$$

Multiply 111 and 13 to get 1443.

$$\frac{4337}{13}+\frac{1443+5}{13}$$

Add 1443 and 5 to get 1448.

$$\frac{4337}{13}+\frac{1448}{13}$$

Since \frac{4337}{13} and \frac{1448}{13} have the same denominator, add them by adding their numerators.

$$\frac{4337+1448}{13}$$

Add 4337 and 1448 to get 5785.

$$\frac{5785}{13}$$

Divide 5785 by 13 to get 445.

$$445$$

Factor

$$5\times 89$$