Solve 4/15+3/4+1

$$\frac { 4 } { 15 } + \frac { 3 } { 4 } + 1$$

Evaluate

$$\frac{121}{60}\approx 2.016666667$$

Solution Steps

Least common multiple of 15 and 4 is 60. Convert \frac{4}{15} and \frac{3}{4} to fractions with denominator 60.

$$\frac{16}{60}+\frac{45}{60}+1$$

Since \frac{16}{60} and \frac{45}{60} have the same denominator, add them by adding their numerators.

$$\frac{16+45}{60}+1$$

Add 16 and 45 to get 61.

$$\frac{61}{60}+1$$

Convert 1 to fraction \frac{60}{60}.

$$\frac{61}{60}+\frac{60}{60}$$

Since \frac{61}{60} and \frac{60}{60} have the same denominator, add them by adding their numerators.

$$\frac{61+60}{60}$$

Add 61 and 60 to get 121.

$$\frac{121}{60}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{1}{60} = 2.0166666666666666$$