Solve -0.25^2/{left(-frac{1{2}right)}^4}+left(11/2+23/8-3.75right)24

$$- \frac{ { 0.25 }^{ 2 } }{ { \left(- \frac{ 1 }{ 2 } \right) }^{ 4 } } + \left( 1 \frac{ 1 }{ 2 } +2 \frac{ 3 }{ 8 } -3.75 \right) 24$$

Evaluate

$$2$$

Solution Steps

Calculate 0.25 to the power of 2 and get 0.0625.

$$-\frac{0.0625}{\left(-\frac{1}{2}\right)^{4}}+\left(\frac{1\times 2+1}{2}+\frac{2\times 8+3}{8}-3.75\right)\times 24$$

Calculate -\frac{1}{2} to the power of 4 and get \frac{1}{16}.

$$-\frac{0.0625}{\frac{1}{16}}+\left(\frac{1\times 2+1}{2}+\frac{2\times 8+3}{8}-3.75\right)\times 24$$

Divide 0.0625 by \frac{1}{16} to get 1.

$$-1+\left(\frac{1\times 2+1}{2}+\frac{2\times 8+3}{8}-3.75\right)\times 24$$

Multiply 1 and 2 to get 2.

$$-1+\left(\frac{2+1}{2}+\frac{2\times 8+3}{8}-3.75\right)\times 24$$

Add 2 and 1 to get 3.

$$-1+\left(\frac{3}{2}+\frac{2\times 8+3}{8}-3.75\right)\times 24$$

Multiply 2 and 8 to get 16.

$$-1+\left(\frac{3}{2}+\frac{16+3}{8}-3.75\right)\times 24$$

Add 16 and 3 to get 19.

$$-1+\left(\frac{3}{2}+\frac{19}{8}-3.75\right)\times 24$$

Least common multiple of 2 and 8 is 8. Convert \frac{3}{2} and \frac{19}{8} to fractions with denominator 8.

$$-1+\left(\frac{12}{8}+\frac{19}{8}-3.75\right)\times 24$$

Since \frac{12}{8} and \frac{19}{8} have the same denominator, add them by adding their numerators.

$$-1+\left(\frac{12+19}{8}-3.75\right)\times 24$$

Add 12 and 19 to get 31.

$$-1+\left(\frac{31}{8}-3.75\right)\times 24$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$-1+\left(\frac{31}{8}-\frac{15}{4}\right)\times 24$$

Least common multiple of 8 and 4 is 8. Convert \frac{31}{8} and \frac{15}{4} to fractions with denominator 8.

$$-1+\left(\frac{31}{8}-\frac{30}{8}\right)\times 24$$

Since \frac{31}{8} and \frac{30}{8} have the same denominator, subtract them by subtracting their numerators.

$$-1+\frac{31-30}{8}\times 24$$

Subtract 30 from 31 to get 1.

$$-1+\frac{1}{8}\times 24$$

Multiply \frac{1}{8} and 24 to get \frac{24}{8}.

$$-1+\frac{24}{8}$$

Divide 24 by 8 to get 3.

$$-1+3$$

Add -1 and 3 to get 2.

$$2$$

Factor

$$2$$