Solve 4/3+6/7-3/8

$$\frac { 4 } { 3 } + \frac { 6 } { 7 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{305}{168}\approx 1.81547619$$

Solution Steps

Least common multiple of 3 and 7 is 21. Convert \frac{4}{3} and \frac{6}{7} to fractions with denominator 21.

$$\frac{28}{21}+\frac{18}{21}-\frac{3}{8}$$

Since \frac{28}{21} and \frac{18}{21} have the same denominator, add them by adding their numerators.

$$\frac{28+18}{21}-\frac{3}{8}$$

Add 28 and 18 to get 46.

$$\frac{46}{21}-\frac{3}{8}$$

Least common multiple of 21 and 8 is 168. Convert \frac{46}{21} and \frac{3}{8} to fractions with denominator 168.

$$\frac{368}{168}-\frac{63}{168}$$

Since \frac{368}{168} and \frac{63}{168} have the same denominator, subtract them by subtracting their numerators.

$$\frac{368-63}{168}$$

Subtract 63 from 368 to get 305.

$$\frac{305}{168}$$

Factor

$$\frac{5 \cdot 61}{2 ^ {3} \cdot 3 \cdot 7} = 1\frac{137}{168} = 1.8154761904761905$$