Solve [4-31/2*(21/7-11/5)]div7/10

$$[ 4 - 3 \frac { 1 } { 2 } \times ( 2 \frac { 1 } { 7 } - 1 \frac { 1 } { 5 } ) ] \div \frac { 7 } { 10 }$$

Evaluate

$$1$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 2 and 7 to get 14.

$$\frac{4-\frac{7}{2}\left(\frac{14+1}{7}-\frac{1\times 5+1}{5}\right)}{\frac{7}{10}}$$

Add 14 and 1 to get 15.

$$\frac{4-\frac{7}{2}\left(\frac{15}{7}-\frac{1\times 5+1}{5}\right)}{\frac{7}{10}}$$

Multiply 1 and 5 to get 5.

$$\frac{4-\frac{7}{2}\left(\frac{15}{7}-\frac{5+1}{5}\right)}{\frac{7}{10}}$$

Add 5 and 1 to get 6.

$$\frac{4-\frac{7}{2}\left(\frac{15}{7}-\frac{6}{5}\right)}{\frac{7}{10}}$$

Least common multiple of 7 and 5 is 35. Convert \frac{15}{7} and \frac{6}{5} to fractions with denominator 35.

$$\frac{4-\frac{7}{2}\left(\frac{75}{35}-\frac{42}{35}\right)}{\frac{7}{10}}$$

Since \frac{75}{35} and \frac{42}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-\frac{7}{2}\times \frac{75-42}{35}}{\frac{7}{10}}$$

Subtract 42 from 75 to get 33.

$$\frac{4-\frac{7}{2}\times \frac{33}{35}}{\frac{7}{10}}$$

Multiply \frac{7}{2} times \frac{33}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4-\frac{7\times 33}{2\times 35}}{\frac{7}{10}}$$

Do the multiplications in the fraction \frac{7\times 33}{2\times 35}.

$$\frac{4-\frac{231}{70}}{\frac{7}{10}}$$

Reduce the fraction \frac{231}{70} to lowest terms by extracting and canceling out 7.

$$\frac{4-\frac{33}{10}}{\frac{7}{10}}$$

Convert 4 to fraction \frac{40}{10}.

$$\frac{\frac{40}{10}-\frac{33}{10}}{\frac{7}{10}}$$

Since \frac{40}{10} and \frac{33}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{40-33}{10}}{\frac{7}{10}}$$

Subtract 33 from 40 to get 7.

$$\frac{\frac{7}{10}}{\frac{7}{10}}$$

Divide \frac{7}{10} by \frac{7}{10} to get 1.

$$1$$

Factor

$$1$$