Solve 9/14div0.4-6/7=

$$\frac { 9 } { 14 } \div 0.4 - \frac { 6 } { 7 } =$$

Evaluate

$$0.75$$

Solution Steps

Express \frac{\frac{9}{14}}{0.4} as a single fraction.

$$\frac{9}{14\times 0.4}-\frac{6}{7}$$

Multiply 14 and 0.4 to get 5.6.

$$\frac{9}{5.6}-\frac{6}{7}$$

Expand \frac{9}{5.6} by multiplying both numerator and the denominator by 10.

$$\frac{90}{56}-\frac{6}{7}$$

Reduce the fraction \frac{90}{56} to lowest terms by extracting and canceling out 2.

$$\frac{45}{28}-\frac{6}{7}$$

Least common multiple of 28 and 7 is 28. Convert \frac{45}{28} and \frac{6}{7} to fractions with denominator 28.

$$\frac{45}{28}-\frac{24}{28}$$

Since \frac{45}{28} and \frac{24}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-24}{28}$$

Subtract 24 from 45 to get 21.

$$\frac{21}{28}$$

Reduce the fraction \frac{21}{28} to lowest terms by extracting and canceling out 7.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$