Solve 7/9-3/7*14/9+3/4

$$\frac { 7 } { 9 } - \frac { 3 } { 7 } \times \frac { 14 } { 9 } + \frac { 3 } { 4 }$$

Evaluate

$$\frac{31}{36}\approx 0.861111111$$

Solution Steps

Multiply \frac{3}{7} times \frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{9}-\frac{3\times 14}{7\times 9}+\frac{3}{4}$$

Do the multiplications in the fraction \frac{3\times 14}{7\times 9}.

$$\frac{7}{9}-\frac{42}{63}+\frac{3}{4}$$

Reduce the fraction \frac{42}{63} to lowest terms by extracting and canceling out 21.

$$\frac{7}{9}-\frac{2}{3}+\frac{3}{4}$$

Least common multiple of 9 and 3 is 9. Convert \frac{7}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{7}{9}-\frac{6}{9}+\frac{3}{4}$$

Since \frac{7}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{9}+\frac{3}{4}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{9}+\frac{3}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{1}{9} and \frac{3}{4} to fractions with denominator 36.

$$\frac{4}{36}+\frac{27}{36}$$

Since \frac{4}{36} and \frac{27}{36} have the same denominator, add them by adding their numerators.

$$\frac{4+27}{36}$$

Add 4 and 27 to get 31.

$$\frac{31}{36}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3 ^ {2}} = 0.8611111111111112$$