Solve [61/5-(3/4+2.75)*4/7]div14

$$[ 6 \frac { 1 } { 5 } - ( \frac { 3 } { 4 } + 2.75 ) \times \frac { 4 } { 7 } ] \div 14$$

Evaluate

$$0.3$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{\frac{30+1}{5}-\left(\frac{3}{4}+2.75\right)\times \frac{4}{7}}{14}$$

Add 30 and 1 to get 31.

$$\frac{\frac{31}{5}-\left(\frac{3}{4}+2.75\right)\times \frac{4}{7}}{14}$$

Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{31}{5}-\left(\frac{3}{4}+\frac{11}{4}\right)\times \frac{4}{7}}{14}$$

Since \frac{3}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{31}{5}-\frac{3+11}{4}\times \frac{4}{7}}{14}$$

Add 3 and 11 to get 14.

$$\frac{\frac{31}{5}-\frac{14}{4}\times \frac{4}{7}}{14}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{31}{5}-\frac{7}{2}\times \frac{4}{7}}{14}$$

Multiply \frac{7}{2} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{31}{5}-\frac{7\times 4}{2\times 7}}{14}$$

Cancel out 7 in both numerator and denominator.

$$\frac{\frac{31}{5}-\frac{4}{2}}{14}$$

Divide 4 by 2 to get 2.

$$\frac{\frac{31}{5}-2}{14}$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{\frac{31}{5}-\frac{10}{5}}{14}$$

Since \frac{31}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{31-10}{5}}{14}$$

Subtract 10 from 31 to get 21.

$$\frac{\frac{21}{5}}{14}$$

Express \frac{\frac{21}{5}}{14} as a single fraction.

$$\frac{21}{5\times 14}$$

Multiply 5 and 14 to get 70.

$$\frac{21}{70}$$

Reduce the fraction \frac{21}{70} to lowest terms by extracting and canceling out 7.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$