Solve 172/10+163/18-36/14=

$$17 \frac { 2 } { 10 } + 16 \frac { 3 } { 18 } - \frac { 36 } { 14 } =$$

Evaluate

$$\frac{6467}{210}\approx 30.795238095$$

Solution Steps

Multiply 17 and 10 to get 170.

$$\frac{170+2}{10}+\frac{16\times 18+3}{18}-\frac{36}{14}$$

Add 170 and 2 to get 172.

$$\frac{172}{10}+\frac{16\times 18+3}{18}-\frac{36}{14}$$

Reduce the fraction \frac{172}{10} to lowest terms by extracting and canceling out 2.

$$\frac{86}{5}+\frac{16\times 18+3}{18}-\frac{36}{14}$$

Multiply 16 and 18 to get 288.

$$\frac{86}{5}+\frac{288+3}{18}-\frac{36}{14}$$

Add 288 and 3 to get 291.

$$\frac{86}{5}+\frac{291}{18}-\frac{36}{14}$$

Reduce the fraction \frac{291}{18} to lowest terms by extracting and canceling out 3.

$$\frac{86}{5}+\frac{97}{6}-\frac{36}{14}$$

Least common multiple of 5 and 6 is 30. Convert \frac{86}{5} and \frac{97}{6} to fractions with denominator 30.

$$\frac{516}{30}+\frac{485}{30}-\frac{36}{14}$$

Since \frac{516}{30} and \frac{485}{30} have the same denominator, add them by adding their numerators.

$$\frac{516+485}{30}-\frac{36}{14}$$

Add 516 and 485 to get 1001.

$$\frac{1001}{30}-\frac{36}{14}$$

Reduce the fraction \frac{36}{14} to lowest terms by extracting and canceling out 2.

$$\frac{1001}{30}-\frac{18}{7}$$

Least common multiple of 30 and 7 is 210. Convert \frac{1001}{30} and \frac{18}{7} to fractions with denominator 210.

$$\frac{7007}{210}-\frac{540}{210}$$

Since \frac{7007}{210} and \frac{540}{210} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7007-540}{210}$$

Subtract 540 from 7007 to get 6467.

$$\frac{6467}{210}$$

Factor

$$\frac{29 \cdot 223}{2 \cdot 3 \cdot 5 \cdot 7} = 30\frac{167}{210} = 30.795238095238094$$