Solve 274/5+413/14+32/17

$$27 \frac { 4 } { 5 } + 4 \frac { 13 } { 14 } + 3 \frac { 2 } { 17 }$$

Evaluate

$$\frac{42657}{1190}\approx 35.846218487$$

Solution Steps

Multiply 27 and 5 to get 135.

$$\frac{135+4}{5}+\frac{4\times 14+13}{14}+\frac{3\times 17+2}{17}$$

Add 135 and 4 to get 139.

$$\frac{139}{5}+\frac{4\times 14+13}{14}+\frac{3\times 17+2}{17}$$

Multiply 4 and 14 to get 56.

$$\frac{139}{5}+\frac{56+13}{14}+\frac{3\times 17+2}{17}$$

Add 56 and 13 to get 69.

$$\frac{139}{5}+\frac{69}{14}+\frac{3\times 17+2}{17}$$

Least common multiple of 5 and 14 is 70. Convert \frac{139}{5} and \frac{69}{14} to fractions with denominator 70.

$$\frac{1946}{70}+\frac{345}{70}+\frac{3\times 17+2}{17}$$

Since \frac{1946}{70} and \frac{345}{70} have the same denominator, add them by adding their numerators.

$$\frac{1946+345}{70}+\frac{3\times 17+2}{17}$$

Add 1946 and 345 to get 2291.

$$\frac{2291}{70}+\frac{3\times 17+2}{17}$$

Multiply 3 and 17 to get 51.

$$\frac{2291}{70}+\frac{51+2}{17}$$

Add 51 and 2 to get 53.

$$\frac{2291}{70}+\frac{53}{17}$$

Least common multiple of 70 and 17 is 1190. Convert \frac{2291}{70} and \frac{53}{17} to fractions with denominator 1190.

$$\frac{38947}{1190}+\frac{3710}{1190}$$

Since \frac{38947}{1190} and \frac{3710}{1190} have the same denominator, add them by adding their numerators.

$$\frac{38947+3710}{1190}$$

Add 38947 and 3710 to get 42657.

$$\frac{42657}{1190}$$

Factor

$$\frac{3 \cdot 59 \cdot 241}{2 \cdot 5 \cdot 7 \cdot 17} = 35\frac{1007}{1190} = 35.84621848739496$$