Solve 12/3-4*(21/5-3:26/7)=

$$1 \frac { 2 } { 3 } - 4 \cdot ( 2 \frac { 1 } { 5 } - 3 : 2 \frac { 6 } { 7 } ) =$$

Evaluate

$$-\frac{44}{15}\approx -2.933333333$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}-4\left(\frac{2\times 5+1}{5}-\frac{3}{\frac{2\times 7+6}{7}}\right)$$

Add 3 and 2 to get 5.

$$\frac{5}{3}-4\left(\frac{2\times 5+1}{5}-\frac{3}{\frac{2\times 7+6}{7}}\right)$$

Multiply 2 and 5 to get 10.

$$\frac{5}{3}-4\left(\frac{10+1}{5}-\frac{3}{\frac{2\times 7+6}{7}}\right)$$

Add 10 and 1 to get 11.

$$\frac{5}{3}-4\left(\frac{11}{5}-\frac{3}{\frac{2\times 7+6}{7}}\right)$$

Divide 3 by \frac{2\times 7+6}{7} by multiplying 3 by the reciprocal of \frac{2\times 7+6}{7}.

$$\frac{5}{3}-4\left(\frac{11}{5}-\frac{3\times 7}{2\times 7+6}\right)$$

Multiply 3 and 7 to get 21.

$$\frac{5}{3}-4\left(\frac{11}{5}-\frac{21}{2\times 7+6}\right)$$

Multiply 2 and 7 to get 14.

$$\frac{5}{3}-4\left(\frac{11}{5}-\frac{21}{14+6}\right)$$

Add 14 and 6 to get 20.

$$\frac{5}{3}-4\left(\frac{11}{5}-\frac{21}{20}\right)$$

Least common multiple of 5 and 20 is 20. Convert \frac{11}{5} and \frac{21}{20} to fractions with denominator 20.

$$\frac{5}{3}-4\left(\frac{44}{20}-\frac{21}{20}\right)$$

Since \frac{44}{20} and \frac{21}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{3}-4\times \frac{44-21}{20}$$

Subtract 21 from 44 to get 23.

$$\frac{5}{3}-4\times \frac{23}{20}$$

Express 4\times \frac{23}{20} as a single fraction.

$$\frac{5}{3}-\frac{4\times 23}{20}$$

Multiply 4 and 23 to get 92.

$$\frac{5}{3}-\frac{92}{20}$$

Reduce the fraction \frac{92}{20} to lowest terms by extracting and canceling out 4.

$$\frac{5}{3}-\frac{23}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{23}{5} to fractions with denominator 15.

$$\frac{25}{15}-\frac{69}{15}$$

Since \frac{25}{15} and \frac{69}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-69}{15}$$

Subtract 69 from 25 to get -44.

$$-\frac{44}{15}$$

Factor

$$-\frac{44}{15} = -2\frac{14}{15} = -2.933333333333333$$