Solve 21/2-1,4*(22/7)

$$2 \frac { 1 } { 2 } - 1,4 \cdot ( 2 \frac { 2 } { 7 } )$$

Evaluate

$$-0,7$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}-1,4\times \frac{2\times 7+2}{7}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}-1,4\times \frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{5}{2}-1,4\times \frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{5}{2}-1,4\times \frac{16}{7}$$

Convert decimal number 1,4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}-\frac{7}{5}\times \frac{16}{7}$$

Multiply \frac{7}{5} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{2}-\frac{7\times 16}{5\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{5}{2}-\frac{16}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{16}{5} to fractions with denominator 10.

$$\frac{25}{10}-\frac{32}{10}$$

Since \frac{25}{10} and \frac{32}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-32}{10}$$

Subtract 32 from 25 to get -7.

$$-\frac{7}{10}$$

Factor

$$-0,7$$