Solve 9/14div0.6div(1-3/7)

$$\frac { 9 } { 14 } \div 0.6 \div ( 1 - \frac { 3 } { 7 } )$$

Evaluate

$$1.875$$

Solution Steps

Express \frac{\frac{9}{14}}{0.6} as a single fraction.

$$\frac{\frac{9}{14\times 0.6}}{1-\frac{3}{7}}$$

Multiply 14 and 0.6 to get 8.4.

$$\frac{\frac{9}{8.4}}{1-\frac{3}{7}}$$

Expand \frac{9}{8.4} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{90}{84}}{1-\frac{3}{7}}$$

Reduce the fraction \frac{90}{84} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{15}{14}}{1-\frac{3}{7}}$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{\frac{15}{14}}{\frac{7}{7}-\frac{3}{7}}$$

Since \frac{7}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15}{14}}{\frac{7-3}{7}}$$

Subtract 3 from 7 to get 4.

$$\frac{\frac{15}{14}}{\frac{4}{7}}$$

Divide \frac{15}{14} by \frac{4}{7} by multiplying \frac{15}{14} by the reciprocal of \frac{4}{7}.

$$\frac{15}{14}\times \frac{7}{4}$$

Multiply \frac{15}{14} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 7}{14\times 4}$$

Do the multiplications in the fraction \frac{15\times 7}{14\times 4}.

$$\frac{105}{56}$$

Reduce the fraction \frac{105}{56} to lowest terms by extracting and canceling out 7.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$