Solve 5/16-5*23+(-41/2)-7.27

$$\frac { 5 } { 16 } - 5 \cdot 23 + ( - 4 \frac { 1 } { 2 } ) - 7.27$$

Evaluate

$$-126.4575$$

Solution Steps

Multiply 5 and 23 to get 115.

$$\frac{5}{16}-115-\frac{4\times 2+1}{2}-7.27$$

Convert 115 to fraction \frac{1840}{16}.

$$\frac{5}{16}-\frac{1840}{16}-\frac{4\times 2+1}{2}-7.27$$

Since \frac{5}{16} and \frac{1840}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1840}{16}-\frac{4\times 2+1}{2}-7.27$$

Subtract 1840 from 5 to get -1835.

$$-\frac{1835}{16}-\frac{4\times 2+1}{2}-7.27$$

Multiply 4 and 2 to get 8.

$$-\frac{1835}{16}-\frac{8+1}{2}-7.27$$

Add 8 and 1 to get 9.

$$-\frac{1835}{16}-\frac{9}{2}-7.27$$

Least common multiple of 16 and 2 is 16. Convert -\frac{1835}{16} and \frac{9}{2} to fractions with denominator 16.

$$-\frac{1835}{16}-\frac{72}{16}-7.27$$

Since -\frac{1835}{16} and \frac{72}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1835-72}{16}-7.27$$

Subtract 72 from -1835 to get -1907.

$$-\frac{1907}{16}-7.27$$

Convert decimal number 7.27 to fraction \frac{727}{100}.

$$-\frac{1907}{16}-\frac{727}{100}$$

Least common multiple of 16 and 100 is 400. Convert -\frac{1907}{16} and \frac{727}{100} to fractions with denominator 400.

$$-\frac{47675}{400}-\frac{2908}{400}$$

Since -\frac{47675}{400} and \frac{2908}{400} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-47675-2908}{400}$$

Subtract 2908 from -47675 to get -50583.

$$-\frac{50583}{400}$$

Factor

$$-126.4575$$