Solve -0.25div(-1/2)^2*(-1)^3+(11/8+7/3-3.7)*24

$$- 0.25 \div ( - \frac { 1 } { 2 } ) ^ { 2 } \times ( - 1 ) ^ { 3 } + ( \frac { 11 } { 8 } + \frac { 7 } { 3 } - 3.7 ) \times 24$$

Evaluate

$$1.2$$

Solution Steps

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{-0.25}{\frac{1}{4}}\left(-1\right)^{3}+\left(\frac{11}{8}+\frac{7}{3}-3.7\right)\times 24$$

Divide -0.25 by \frac{1}{4} to get -1.

$$-\left(-1\right)^{3}+\left(\frac{11}{8}+\frac{7}{3}-3.7\right)\times 24$$

Calculate -1 to the power of 3 and get -1.

$$-\left(-1\right)+\left(\frac{11}{8}+\frac{7}{3}-3.7\right)\times 24$$

Multiply -1 and -1 to get 1.

$$1+\left(\frac{11}{8}+\frac{7}{3}-3.7\right)\times 24$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{7}{3} to fractions with denominator 24.

$$1+\left(\frac{33}{24}+\frac{56}{24}-3.7\right)\times 24$$

Since \frac{33}{24} and \frac{56}{24} have the same denominator, add them by adding their numerators.

$$1+\left(\frac{33+56}{24}-3.7\right)\times 24$$

Add 33 and 56 to get 89.

$$1+\left(\frac{89}{24}-3.7\right)\times 24$$

Convert decimal number 3.7 to fraction \frac{37}{10}.

$$1+\left(\frac{89}{24}-\frac{37}{10}\right)\times 24$$

Least common multiple of 24 and 10 is 120. Convert \frac{89}{24} and \frac{37}{10} to fractions with denominator 120.

$$1+\left(\frac{445}{120}-\frac{444}{120}\right)\times 24$$

Since \frac{445}{120} and \frac{444}{120} have the same denominator, subtract them by subtracting their numerators.

$$1+\frac{445-444}{120}\times 24$$

Subtract 444 from 445 to get 1.

$$1+\frac{1}{120}\times 24$$

Multiply \frac{1}{120} and 24 to get \frac{24}{120}.

$$1+\frac{24}{120}$$

Reduce the fraction \frac{24}{120} to lowest terms by extracting and canceling out 24.

$$1+\frac{1}{5}$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{5}{5}+\frac{1}{5}$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$