Solve |02,6-(4/21+1/12)*168

$$| 02,6 - ( \frac { 4 } { 21 } + \frac { 1 } { 12 } ) \times 168$$

Evaluate

$$43,4$$

Solution Steps

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

$$|2,6-\left(\frac{16}{84}+\frac{7}{84}\right)\times 168|$$

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

$$|2,6-\frac{16+7}{84}\times 168|$$

Add 16 and 7 to get 23.

$$|2,6-\frac{23}{84}\times 168|$$

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

$$|2,6-\frac{23\times 168}{84}|$$

Multiply 23 and 168 to get 3864.

$$|2,6-\frac{3864}{84}|$$

Divide 3864 by 84 to get 46.

$$|2,6-46|$$

Subtract 46 from 2,6 to get -43,4.

$$|-43,4|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -43,4 is 43,4.

$$43,4$$

Factor

$$\frac{7 \cdot 31}{5} = 43\frac{2}{5} = 43.4$$