Solve 102.6-(1/12+4/21)*168

$$102.6-( \frac{ 1 }{ 12 } + \frac{ 4 }{ 21 } ) \times 168$$

Evaluate

$$56.6$$

Solution Steps

Least common multiple of 12 and 21 is 84. Convert \frac{1}{12} and \frac{4}{21} to fractions with denominator 84.

$$102.6-\left(\frac{7}{84}+\frac{16}{84}\right)\times 168$$

Since \frac{7}{84} and \frac{16}{84} have the same denominator, add them by adding their numerators.

$$102.6-\frac{7+16}{84}\times 168$$

Add 7 and 16 to get 23.

$$102.6-\frac{23}{84}\times 168$$

Express \frac{23}{84}\times 168 as a single fraction.

$$102.6-\frac{23\times 168}{84}$$

Multiply 23 and 168 to get 3864.

$$102.6-\frac{3864}{84}$$

Divide 3864 by 84 to get 46.

$$102.6-46$$

Subtract 46 from 102.6 to get 56.6.

$$56.6$$

Factor

$$\frac{283}{5} = 56\frac{3}{5} = 56.6$$