Solve [6/5div9/10]*(2-7/12)]+7/24

$$[ \frac { 6 } { 5 } \div \frac { 9 } { 10 } ] \cdot ( 2 - \frac { 7 } { 12 } ) ] + \frac { 7 } { 24 }$$

Evaluate

$$\frac{17}{9}\approx 1.888888889$$

Solution Steps

Divide \frac{6}{5} by \frac{9}{10} by multiplying \frac{6}{5} by the reciprocal of \frac{9}{10}.

$$\frac{6}{5}\times \frac{10}{9}\left(2-\frac{7}{12}\right)$$

Multiply \frac{6}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 10}{5\times 9}\left(2-\frac{7}{12}\right)$$

Do the multiplications in the fraction \frac{6\times 10}{5\times 9}.

$$\frac{60}{45}\left(2-\frac{7}{12}\right)$$

Reduce the fraction \frac{60}{45} to lowest terms by extracting and canceling out 15.

$$\frac{4}{3}\left(2-\frac{7}{12}\right)$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{4}{3}\left(\frac{24}{12}-\frac{7}{12}\right)$$

Since \frac{24}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{3}\times \frac{24-7}{12}$$

Subtract 7 from 24 to get 17.

$$\frac{4}{3}\times \frac{17}{12}$$

Multiply \frac{4}{3} times \frac{17}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 17}{3\times 12}$$

Do the multiplications in the fraction \frac{4\times 17}{3\times 12}.

$$\frac{68}{36}$$

Reduce the fraction \frac{68}{36} to lowest terms by extracting and canceling out 4.

$$\frac{17}{9}$$

Factor

$$\frac{17}{3 ^ {2}} = 1\frac{8}{9} = 1.8888888888888888$$