Solve 3/4+5/6+7/75=

$$\frac { 3 } { 4 } + \frac { 5 } { 6 } + \frac { 7 } { 75 } =$$

Evaluate

$$\frac{503}{300}\approx 1.676666667$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}+\frac{7}{75}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}+\frac{7}{75}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}+\frac{7}{75}$$

Least common multiple of 12 and 75 is 300. Convert \frac{19}{12} and \frac{7}{75} to fractions with denominator 300.

$$\frac{475}{300}+\frac{28}{300}$$

Since \frac{475}{300} and \frac{28}{300} have the same denominator, add them by adding their numerators.

$$\frac{475+28}{300}$$

Add 475 and 28 to get 503.

$$\frac{503}{300}$$

Factor

$$\frac{503}{2 ^ {2} \cdot 3 \cdot 5 ^ {2}} = 1\frac{203}{300} = 1.6766666666666667$$