Solve 23/4+15/14=

$$2 \frac { 3 } { 4 } + 1 \frac { 5 } { 14 } =$$

Evaluate

$$\frac{115}{28}\approx 4.107142857$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{1\times 14+5}{14}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{1\times 14+5}{14}$$

Multiply 1 and 14 to get 14.

$$\frac{11}{4}+\frac{14+5}{14}$$

Add 14 and 5 to get 19.

$$\frac{11}{4}+\frac{19}{14}$$

Least common multiple of 4 and 14 is 28. Convert \frac{11}{4} and \frac{19}{14} to fractions with denominator 28.

$$\frac{77}{28}+\frac{38}{28}$$

Since \frac{77}{28} and \frac{38}{28} have the same denominator, add them by adding their numerators.

$$\frac{77+38}{28}$$

Add 77 and 38 to get 115.

$$\frac{115}{28}$$

Factor

$$\frac{5 \cdot 23}{2 ^ {2} \cdot 7} = 4\frac{3}{28} = 4.107142857142857$$