Solve 234/14+713/14=

$$23 \frac { 4 } { 14 } + 7 \frac { 13 } { 14 } =$$

Evaluate

$$\frac{437}{14}\approx 31.214285714$$

Solution Steps

Multiply 23 and 14 to get 322.

$$\frac{322+4}{14}+\frac{7\times 14+13}{14}$$

Add 322 and 4 to get 326.

$$\frac{326}{14}+\frac{7\times 14+13}{14}$$

Reduce the fraction \frac{326}{14} to lowest terms by extracting and canceling out 2.

$$\frac{163}{7}+\frac{7\times 14+13}{14}$$

Multiply 7 and 14 to get 98.

$$\frac{163}{7}+\frac{98+13}{14}$$

Add 98 and 13 to get 111.

$$\frac{163}{7}+\frac{111}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{163}{7} and \frac{111}{14} to fractions with denominator 14.

$$\frac{326}{14}+\frac{111}{14}$$

Since \frac{326}{14} and \frac{111}{14} have the same denominator, add them by adding their numerators.

$$\frac{326+111}{14}$$

Add 326 and 111 to get 437.

$$\frac{437}{14}$$

Factor

$$\frac{19 \cdot 23}{2 \cdot 7} = 31\frac{3}{14} = 31.214285714285715$$