Solve 2*5/12/1-frac{25{144}}

$$\frac { 2 \times \frac { 5 } { 12 } } { 1 - \frac { 25 } { 144 } }$$

Evaluate

$$\frac{120}{119}\approx 1.008403361$$

Solution Steps

Express 2\times \frac{5}{12} as a single fraction.

$$\frac{\frac{2\times 5}{12}}{1-\frac{25}{144}}$$

Multiply 2 and 5 to get 10.

$$\frac{\frac{10}{12}}{1-\frac{25}{144}}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5}{6}}{1-\frac{25}{144}}$$

Convert 1 to fraction \frac{144}{144}.

$$\frac{\frac{5}{6}}{\frac{144}{144}-\frac{25}{144}}$$

Since \frac{144}{144} and \frac{25}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{6}}{\frac{144-25}{144}}$$

Subtract 25 from 144 to get 119.

$$\frac{\frac{5}{6}}{\frac{119}{144}}$$

Divide \frac{5}{6} by \frac{119}{144} by multiplying \frac{5}{6} by the reciprocal of \frac{119}{144}.

$$\frac{5}{6}\times \frac{144}{119}$$

Multiply \frac{5}{6} times \frac{144}{119} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 144}{6\times 119}$$

Do the multiplications in the fraction \frac{5\times 144}{6\times 119}.

$$\frac{720}{714}$$

Reduce the fraction \frac{720}{714} to lowest terms by extracting and canceling out 6.

$$\frac{120}{119}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{7 \cdot 17} = 1\frac{1}{119} = 1.0084033613445378$$