Solve 2.125-4/21:2/35-31/9*frac{3/7}{4frac{4}{9}*0.4}

$$2.125 - \frac { \frac { 4 } { 21 } : \frac { 2 } { 35 } - 3 \frac { 1 } { 9 } * \frac { 3 } { 7 } } { 4 \frac { 4 } { 9 } * 0.4 }$$

Evaluate

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Solution Steps

Divide \frac{4}{21} by \frac{2}{35} by multiplying \frac{4}{21} by the reciprocal of \frac{2}{35}.

$$2.125-\frac{\frac{4}{21}\times \frac{35}{2}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Multiply \frac{4}{21} times \frac{35}{2} by multiplying numerator times numerator and denominator times denominator.

$$2.125-\frac{\frac{4\times 35}{21\times 2}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Do the multiplications in the fraction \frac{4\times 35}{21\times 2}.

$$2.125-\frac{\frac{140}{42}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Reduce the fraction \frac{140}{42} to lowest terms by extracting and canceling out 14.

$$2.125-\frac{\frac{10}{3}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Multiply 3 and 9 to get 27.

$$2.125-\frac{\frac{10}{3}-\frac{27+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Add 27 and 1 to get 28.

$$2.125-\frac{\frac{10}{3}-\frac{28}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Multiply \frac{28}{9} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$2.125-\frac{\frac{10}{3}-\frac{28\times 3}{9\times 7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Do the multiplications in the fraction \frac{28\times 3}{9\times 7}.

$$2.125-\frac{\frac{10}{3}-\frac{84}{63}}{\frac{4\times 9+4}{9}\times 0.4}$$

Reduce the fraction \frac{84}{63} to lowest terms by extracting and canceling out 21.

$$2.125-\frac{\frac{10}{3}-\frac{4}{3}}{\frac{4\times 9+4}{9}\times 0.4}$$

Since \frac{10}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$2.125-\frac{\frac{10-4}{3}}{\frac{4\times 9+4}{9}\times 0.4}$$

Subtract 4 from 10 to get 6.

$$2.125-\frac{\frac{6}{3}}{\frac{4\times 9+4}{9}\times 0.4}$$

Divide 6 by 3 to get 2.

$$2.125-\frac{2}{\frac{4\times 9+4}{9}\times 0.4}$$

Multiply 4 and 9 to get 36.

$$2.125-\frac{2}{\frac{36+4}{9}\times 0.4}$$

Add 36 and 4 to get 40.

$$2.125-\frac{2}{\frac{40}{9}\times 0.4}$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$2.125-\frac{2}{\frac{40}{9}\times \frac{2}{5}}$$

Multiply \frac{40}{9} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$2.125-\frac{2}{\frac{40\times 2}{9\times 5}}$$

Do the multiplications in the fraction \frac{40\times 2}{9\times 5}.

$$2.125-\frac{2}{\frac{80}{45}}$$

Reduce the fraction \frac{80}{45} to lowest terms by extracting and canceling out 5.

$$2.125-\frac{2}{\frac{16}{9}}$$

Divide 2 by \frac{16}{9} by multiplying 2 by the reciprocal of \frac{16}{9}.

$$2.125-2\times \frac{9}{16}$$

Express 2\times \frac{9}{16} as a single fraction.

$$2.125-\frac{2\times 9}{16}$$

Multiply 2 and 9 to get 18.

$$2.125-\frac{18}{16}$$

Reduce the fraction \frac{18}{16} to lowest terms by extracting and canceling out 2.

$$2.125-\frac{9}{8}$$

Convert decimal number 2.125 to fraction \frac{2125}{1000}. Reduce the fraction \frac{2125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{17}{8}-\frac{9}{8}$$

Since \frac{17}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-9}{8}$$

Subtract 9 from 17 to get 8.

$$\frac{8}{8}$$

Divide 8 by 8 to get 1.

$$1$$

Factor

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