Solve 1,4*1,5-1/3:1/15-21/7*(2,9-11/2)=

$$1,4 \cdot 1,5 - \frac { 1 } { 3 } : \frac { 1 } { 15 } - 2 \frac { 1 } { 7 } \cdot ( 2,9 - 1 \frac { 1 } { 2 } ) =$$

Evaluate

$$-5,9$$

Solution Steps

Multiply 1,4 and 1,5 to get 2,1.

$$2,1-\frac{\frac{1}{3}}{\frac{1}{15}}-\frac{2\times 7+1}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Divide \frac{1}{3} by \frac{1}{15} by multiplying \frac{1}{3} by the reciprocal of \frac{1}{15}.

$$2,1-\frac{1}{3}\times 15-\frac{2\times 7+1}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Multiply \frac{1}{3} and 15 to get \frac{15}{3}.

$$2,1-\frac{15}{3}-\frac{2\times 7+1}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Divide 15 by 3 to get 5.

$$2,1-5-\frac{2\times 7+1}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Subtract 5 from 2,1 to get -2,9.

$$-2,9-\frac{2\times 7+1}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Multiply 2 and 7 to get 14.

$$-2,9-\frac{14+1}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Add 14 and 1 to get 15.

$$-2,9-\frac{15}{7}\left(2,9-\frac{1\times 2+1}{2}\right)$$

Multiply 1 and 2 to get 2.

$$-2,9-\frac{15}{7}\left(2,9-\frac{2+1}{2}\right)$$

Add 2 and 1 to get 3.

$$-2,9-\frac{15}{7}\left(2,9-\frac{3}{2}\right)$$

Convert decimal number 2,9 to fraction \frac{29}{10}.

$$-2,9-\frac{15}{7}\left(\frac{29}{10}-\frac{3}{2}\right)$$

Least common multiple of 10 and 2 is 10. Convert \frac{29}{10} and \frac{3}{2} to fractions with denominator 10.

$$-2,9-\frac{15}{7}\left(\frac{29}{10}-\frac{15}{10}\right)$$

Since \frac{29}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$-2,9-\frac{15}{7}\times \frac{29-15}{10}$$

Subtract 15 from 29 to get 14.

$$-2,9-\frac{15}{7}\times \frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$-2,9-\frac{15}{7}\times \frac{7}{5}$$

Multiply \frac{15}{7} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$-2,9-\frac{15\times 7}{7\times 5}$$

Cancel out 7 in both numerator and denominator.

$$-2,9-\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$-2,9-3$$

Subtract 3 from -2,9 to get -5,9.

$$-5,9$$

Factor

$$-5,9$$