Solve 2/9*3/8+7/9*4/8=

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

Evaluate

$$\frac{17}{36}\approx 0.472222222$$

Solution Steps

Multiply \frac{2}{9} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 3}{9\times 8}.

$$\frac{6}{72}+\frac{7}{9}\times \frac{4}{8}$$

Reduce the fraction \frac{6}{72} to lowest terms by extracting and canceling out 6.

$$\frac{1}{12}+\frac{7}{9}\times \frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{12}+\frac{7}{9}\times \frac{1}{2}$$

Multiply \frac{7}{9} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{12}+\frac{7\times 1}{9\times 2}$$

Do the multiplications in the fraction \frac{7\times 1}{9\times 2}.

$$\frac{1}{12}+\frac{7}{18}$$

Least common multiple of 12 and 18 is 36. Convert \frac{1}{12} and \frac{7}{18} to fractions with denominator 36.

$$\frac{3}{36}+\frac{14}{36}$$

Since \frac{3}{36} and \frac{14}{36} have the same denominator, add them by adding their numerators.

$$\frac{3+14}{36}$$

Add 3 and 14 to get 17.

$$\frac{17}{36}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3 ^ {2}} = 0.4722222222222222$$