Solve 1/4+23/14

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

Evaluate

$$\frac{69}{28}\approx 2.464285714$$

Solution Steps

Multiply 2 and 14 to get 28.

$$\frac{1}{4}+\frac{28+3}{14}$$

Add 28 and 3 to get 31.

$$\frac{1}{4}+\frac{31}{14}$$

Least common multiple of 4 and 14 is 28. Convert \frac{1}{4} and \frac{31}{14} to fractions with denominator 28.

$$\frac{7}{28}+\frac{62}{28}$$

Since \frac{7}{28} and \frac{62}{28} have the same denominator, add them by adding their numerators.

$$\frac{7+62}{28}$$

Add 7 and 62 to get 69.

$$\frac{69}{28}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {2} \cdot 7} = 2\frac{13}{28} = 2.4642857142857144$$