Solve 15/4+1/7=

$$\frac { 15 } { 4 } + \frac { 1 } { 7 } =$$

Evaluate

$$\frac{109}{28}\approx 3.892857143$$

Solution Steps

Least common multiple of 4 and 7 is 28. Convert \frac{15}{4} and \frac{1}{7} to fractions with denominator 28.

$$\frac{105}{28}+\frac{4}{28}$$

Since \frac{105}{28} and \frac{4}{28} have the same denominator, add them by adding their numerators.

$$\frac{105+4}{28}$$

Add 105 and 4 to get 109.

$$\frac{109}{28}$$

Factor

$$\frac{109}{2 ^ {2} \cdot 7} = 3\frac{25}{28} = 3.892857142857143$$