Solve -91/4-2/5*7/4-3/8-frac{1}{2}

$$-9 \frac{ 1 }{ 4 } - \frac{ 2 }{ 5 } \times \frac{ 7 }{ 4 } - \frac{ 3 }{ 8 } - \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{433}{40}=-10.825$$

Solution Steps

Multiply 9 and 4 to get 36.

$$-\frac{36+1}{4}-\frac{2}{5}\times \frac{7}{4}-\frac{3}{8}-\frac{1}{2}$$

Add 36 and 1 to get 37.

$$-\frac{37}{4}-\frac{2}{5}\times \frac{7}{4}-\frac{3}{8}-\frac{1}{2}$$

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

$$-\frac{37}{4}-\frac{2\times 7}{5\times 4}-\frac{3}{8}-\frac{1}{2}$$

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

$$-\frac{37}{4}-\frac{14}{20}-\frac{3}{8}-\frac{1}{2}$$

Reduce the fraction \frac{14}{20} to lowest terms by extracting and canceling out 2.

$$-\frac{37}{4}-\frac{7}{10}-\frac{3}{8}-\frac{1}{2}$$

Least common multiple of 4 and 10 is 20. Convert -\frac{37}{4} and \frac{7}{10} to fractions with denominator 20.

$$-\frac{185}{20}-\frac{14}{20}-\frac{3}{8}-\frac{1}{2}$$

Since -\frac{185}{20} and \frac{14}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-185-14}{20}-\frac{3}{8}-\frac{1}{2}$$

Subtract 14 from -185 to get -199.

$$-\frac{199}{20}-\frac{3}{8}-\frac{1}{2}$$

Least common multiple of 20 and 8 is 40. Convert -\frac{199}{20} and \frac{3}{8} to fractions with denominator 40.

$$-\frac{398}{40}-\frac{15}{40}-\frac{1}{2}$$

Since -\frac{398}{40} and \frac{15}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-398-15}{40}-\frac{1}{2}$$

Subtract 15 from -398 to get -413.

$$-\frac{413}{40}-\frac{1}{2}$$

Least common multiple of 40 and 2 is 40. Convert -\frac{413}{40} and \frac{1}{2} to fractions with denominator 40.

$$-\frac{413}{40}-\frac{20}{40}$$

Since -\frac{413}{40} and \frac{20}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-413-20}{40}$$

Subtract 20 from -413 to get -433.

$$-\frac{433}{40}$$

Factor

$$-\frac{433}{40} = -10\frac{33}{40} = -10.825$$