Solve 2*1-(1/15+1/21)*1,5

$$2 \cdot 1 - ( \frac { 1 } { 15 } + \frac { 1 } { 21 } ) \times 1,5$$

Evaluate

$$\frac{64}{35}\approx 1,828571429$$

Solution Steps

Multiply 2 and 1 to get 2.

$$2-\left(\frac{1}{15}+\frac{1}{21}\right)\times 1,5$$

Least common multiple of 15 and 21 is 105. Convert \frac{1}{15} and \frac{1}{21} to fractions with denominator 105.

$$2-\left(\frac{7}{105}+\frac{5}{105}\right)\times 1,5$$

Since \frac{7}{105} and \frac{5}{105} have the same denominator, add them by adding their numerators.

$$2-\frac{7+5}{105}\times 1,5$$

Add 7 and 5 to get 12.

$$2-\frac{12}{105}\times 1,5$$

Reduce the fraction \frac{12}{105} to lowest terms by extracting and canceling out 3.

$$2-\frac{4}{35}\times 1,5$$

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$2-\frac{4}{35}\times \frac{3}{2}$$

Multiply \frac{4}{35} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{4\times 3}{35\times 2}$$

Do the multiplications in the fraction \frac{4\times 3}{35\times 2}.

$$2-\frac{12}{70}$$

Reduce the fraction \frac{12}{70} to lowest terms by extracting and canceling out 2.

$$2-\frac{6}{35}$$

Convert 2 to fraction \frac{70}{35}.

$$\frac{70}{35}-\frac{6}{35}$$

Since \frac{70}{35} and \frac{6}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70-6}{35}$$

Subtract 6 from 70 to get 64.

$$\frac{64}{35}$$

Factor

$$\frac{2 ^ {6}}{5 \cdot 7} = 1\frac{29}{35} = 1.8285714285714285$$