Solve 0.125div(35/8-(15/6+2.25*1/3))

$$0.125 \div ( 3 \frac { 5 } { 8 } -( 1 \frac { 5 } { 6 } +2.25 \times \frac{ 1 }{ 3 } ))$$

Evaluate

$$0.12$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{0.125}{\frac{24+5}{8}-\left(\frac{1\times 6+5}{6}+2.25\times \frac{1}{3}\right)}$$

Add 24 and 5 to get 29.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{1\times 6+5}{6}+2.25\times \frac{1}{3}\right)}$$

Multiply 1 and 6 to get 6.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{6+5}{6}+2.25\times \frac{1}{3}\right)}$$

Add 6 and 5 to get 11.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{11}{6}+2.25\times \frac{1}{3}\right)}$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{11}{6}+\frac{9}{4}\times \frac{1}{3}\right)}$$

Multiply \frac{9}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{11}{6}+\frac{9\times 1}{4\times 3}\right)}$$

Do the multiplications in the fraction \frac{9\times 1}{4\times 3}.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{11}{6}+\frac{9}{12}\right)}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{11}{6}+\frac{3}{4}\right)}$$

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{0.125}{\frac{29}{8}-\left(\frac{22}{12}+\frac{9}{12}\right)}$$

Since \frac{22}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{0.125}{\frac{29}{8}-\frac{22+9}{12}}$$

Add 22 and 9 to get 31.

$$\frac{0.125}{\frac{29}{8}-\frac{31}{12}}$$

Least common multiple of 8 and 12 is 24. Convert \frac{29}{8} and \frac{31}{12} to fractions with denominator 24.

$$\frac{0.125}{\frac{87}{24}-\frac{62}{24}}$$

Since \frac{87}{24} and \frac{62}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0.125}{\frac{87-62}{24}}$$

Subtract 62 from 87 to get 25.

$$\frac{0.125}{\frac{25}{24}}$$

Divide 0.125 by \frac{25}{24} by multiplying 0.125 by the reciprocal of \frac{25}{24}.

$$0.125\times \frac{24}{25}$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{1}{8}\times \frac{24}{25}$$

Multiply \frac{1}{8} times \frac{24}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 24}{8\times 25}$$

Do the multiplications in the fraction \frac{1\times 24}{8\times 25}.

$$\frac{24}{200}$$

Reduce the fraction \frac{24}{200} to lowest terms by extracting and canceling out 8.

$$\frac{3}{25}$$

Factor

$$\frac{3}{5 ^ {2}} = 0.12$$