Solve 28/17+9*91/7

$$2 \frac { 8 } { 17 } + 9 \cdot 9 \frac { 1 } { 7 }$$

Evaluate

$$\frac{10086}{119}\approx 84.756302521$$

Solution Steps

Multiply 2 and 17 to get 34.

$$\frac{34+8}{17}+9\times \frac{9\times 7+1}{7}$$

Add 34 and 8 to get 42.

$$\frac{42}{17}+9\times \frac{9\times 7+1}{7}$$

Multiply 9 and 7 to get 63.

$$\frac{42}{17}+9\times \frac{63+1}{7}$$

Add 63 and 1 to get 64.

$$\frac{42}{17}+9\times \frac{64}{7}$$

Express 9\times \frac{64}{7} as a single fraction.

$$\frac{42}{17}+\frac{9\times 64}{7}$$

Multiply 9 and 64 to get 576.

$$\frac{42}{17}+\frac{576}{7}$$

Least common multiple of 17 and 7 is 119. Convert \frac{42}{17} and \frac{576}{7} to fractions with denominator 119.

$$\frac{294}{119}+\frac{9792}{119}$$

Since \frac{294}{119} and \frac{9792}{119} have the same denominator, add them by adding their numerators.

$$\frac{294+9792}{119}$$

Add 294 and 9792 to get 10086.

$$\frac{10086}{119}$$

Factor

$$\frac{2 \cdot 3 \cdot 41 ^ {2}}{7 \cdot 17} = 84\frac{90}{119} = 84.75630252100841$$