Solve (-23/4)-0.7*2/7

$$(-2 \frac{ 3 }{ 4 } )-0.7 \times \frac{ 2 }{ 7 }$$

Evaluate

$$-2.95$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+3}{4}-0.7\times \frac{2}{7}$$

Add 8 and 3 to get 11.

$$-\frac{11}{4}-0.7\times \frac{2}{7}$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$-\frac{11}{4}-\frac{7}{10}\times \frac{2}{7}$$

Multiply \frac{7}{10} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{11}{4}-\frac{7\times 2}{10\times 7}$$

Cancel out 7 in both numerator and denominator.

$$-\frac{11}{4}-\frac{2}{10}$$

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

$$-\frac{11}{4}-\frac{1}{5}$$

Least common multiple of 4 and 5 is 20. Convert -\frac{11}{4} and \frac{1}{5} to fractions with denominator 20.

$$-\frac{55}{20}-\frac{4}{20}$$

Since -\frac{55}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-4}{20}$$

Subtract 4 from -55 to get -59.

$$-\frac{59}{20}$$

Factor

$$-2.95$$