Solve 112*11+89*7+175*5+72/5*39/39*39

$$\frac { 112 \times 11 + 89 \times 7 + 175 \times 5 + \frac { 72 } { 5 } \times 39 } { 39 \times 39 }$$

Evaluate

$$\frac{422}{195}\approx 2.164102564$$

Solution Steps

Multiply 112 and 11 to get 1232. Multiply 89 and 7 to get 623. Multiply 175 and 5 to get 875.

$$\frac{1232+623+875+\frac{72}{5}\times 39}{39\times 39}$$

Add 1232 and 623 to get 1855.

$$\frac{1855+875+\frac{72}{5}\times 39}{39\times 39}$$

Add 1855 and 875 to get 2730.

$$\frac{2730+\frac{72}{5}\times 39}{39\times 39}$$

Express \frac{72}{5}\times 39 as a single fraction.

$$\frac{2730+\frac{72\times 39}{5}}{39\times 39}$$

Multiply 72 and 39 to get 2808.

$$\frac{2730+\frac{2808}{5}}{39\times 39}$$

Convert 2730 to fraction \frac{13650}{5}.

$$\frac{\frac{13650}{5}+\frac{2808}{5}}{39\times 39}$$

Since \frac{13650}{5} and \frac{2808}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{13650+2808}{5}}{39\times 39}$$

Add 13650 and 2808 to get 16458.

$$\frac{\frac{16458}{5}}{39\times 39}$$

Multiply 39 and 39 to get 1521.

$$\frac{\frac{16458}{5}}{1521}$$

Express \frac{\frac{16458}{5}}{1521} as a single fraction.

$$\frac{16458}{5\times 1521}$$

Multiply 5 and 1521 to get 7605.

$$\frac{16458}{7605}$$

Reduce the fraction \frac{16458}{7605} to lowest terms by extracting and canceling out 39.

$$\frac{422}{195}$$

Factor

$$\frac{2 \cdot 211}{3 \cdot 5 \cdot 13} = 2\frac{32}{195} = 2.164102564102564$$