Solve 3/4*5/6+7/8:9/2=

$$\frac { 3 } { 4 } \cdot \frac { 5 } { 6 } + \frac { 7 } { 8 } : \frac { 9 } { 2 } =$$

Evaluate

$$\frac{59}{72}\approx 0.819444444$$

Solution Steps

Multiply \frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 6}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 6}.

$$\frac{15}{24}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

Divide \frac{7}{8} by \frac{9}{2} by multiplying \frac{7}{8} by the reciprocal of \frac{9}{2}.

$$\frac{5}{8}+\frac{7}{8}\times \frac{2}{9}$$

Multiply \frac{7}{8} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{8}+\frac{7\times 2}{8\times 9}$$

Do the multiplications in the fraction \frac{7\times 2}{8\times 9}.

$$\frac{5}{8}+\frac{14}{72}$$

Reduce the fraction \frac{14}{72} to lowest terms by extracting and canceling out 2.

$$\frac{5}{8}+\frac{7}{36}$$

Least common multiple of 8 and 36 is 72. Convert \frac{5}{8} and \frac{7}{36} to fractions with denominator 72.

$$\frac{45}{72}+\frac{14}{72}$$

Since \frac{45}{72} and \frac{14}{72} have the same denominator, add them by adding their numerators.

$$\frac{45+14}{72}$$

Add 45 and 14 to get 59.

$$\frac{59}{72}$$

Factor

$$\frac{59}{2 ^ {3} \cdot 3 ^ {2}} = 0.8194444444444444$$