Solve 311/21+11/17

$$3 \frac { 11 } { 21 } + 1 \frac { 1 } { 17 }$$

Evaluate

$$\frac{1636}{357}\approx 4.582633053$$

Solution Steps

Multiply 3 and 21 to get 63.

$$\frac{63+11}{21}+\frac{1\times 17+1}{17}$$

Add 63 and 11 to get 74.

$$\frac{74}{21}+\frac{1\times 17+1}{17}$$

Multiply 1 and 17 to get 17.

$$\frac{74}{21}+\frac{17+1}{17}$$

Add 17 and 1 to get 18.

$$\frac{74}{21}+\frac{18}{17}$$

Least common multiple of 21 and 17 is 357. Convert \frac{74}{21} and \frac{18}{17} to fractions with denominator 357.

$$\frac{1258}{357}+\frac{378}{357}$$

Since \frac{1258}{357} and \frac{378}{357} have the same denominator, add them by adding their numerators.

$$\frac{1258+378}{357}$$

Add 1258 and 378 to get 1636.

$$\frac{1636}{357}$$

Factor

$$\frac{2 ^ {2} \cdot 409}{3 \cdot 7 \cdot 17} = 4\frac{208}{357} = 4.582633053221288$$