Solve -21/2*13/4+3

$$- 2 \frac { 1 } { 2 } \cdot 1 \frac { 3 } { 4 } + 3$$

Evaluate

$$-\frac{11}{8}=-1.375$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\left(-\frac{4+1}{2}\right)\times \frac{1\times 4+3}{4}+3$$

Add 4 and 1 to get 5.

$$-\frac{5}{2}\times \frac{4+3}{4}+3$$

Add 4 and 3 to get 7.

$$-\frac{5}{2}\times \frac{7}{4}+3$$

Multiply -\frac{5}{2} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 7}{2\times 4}+3$$

Do the multiplications in the fraction \frac{-5\times 7}{2\times 4}.

$$\frac{-35}{8}+3$$

Fraction \frac{-35}{8} can be rewritten as -\frac{35}{8} by extracting the negative sign.

$$-\frac{35}{8}+3$$

Convert 3 to fraction \frac{24}{8}.

$$-\frac{35}{8}+\frac{24}{8}$$

Since -\frac{35}{8} and \frac{24}{8} have the same denominator, add them by adding their numerators.

$$\frac{-35+24}{8}$$

Add -35 and 24 to get -11.

$$-\frac{11}{8}$$

Factor

$$-\frac{11}{8} = -1\frac{3}{8} = -1.375$$