Solve -1/2*3/4-2.6

$$- \frac { 1 } { 2 } \times \frac { 3 } { 4 } - 2.6$$

Evaluate

$$-2.975$$

Solution Steps

Multiply -\frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3}{2\times 4}-2.6$$

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

$$\frac{-3}{8}-2.6$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$-\frac{3}{8}-2.6$$

Convert decimal number 2.6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{8}-\frac{13}{5}$$

Least common multiple of 8 and 5 is 40. Convert -\frac{3}{8} and \frac{13}{5} to fractions with denominator 40.

$$-\frac{15}{40}-\frac{104}{40}$$

Since -\frac{15}{40} and \frac{104}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-104}{40}$$

Subtract 104 from -15 to get -119.

$$-\frac{119}{40}$$

Factor

$$-2.975$$