Solve 14/9+25/36-7/6

$$1 \frac { 4 } { 9 } + 2 \frac { 5 } { 36 } - \frac { 7 } { 6 }$$

Evaluate

$$\frac{29}{12}\approx 2.416666667$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+4}{9}+\frac{2\times 36+5}{36}-\frac{7}{6}$$

Add 9 and 4 to get 13.

$$\frac{13}{9}+\frac{2\times 36+5}{36}-\frac{7}{6}$$

Multiply 2 and 36 to get 72.

$$\frac{13}{9}+\frac{72+5}{36}-\frac{7}{6}$$

Add 72 and 5 to get 77.

$$\frac{13}{9}+\frac{77}{36}-\frac{7}{6}$$

Least common multiple of 9 and 36 is 36. Convert \frac{13}{9} and \frac{77}{36} to fractions with denominator 36.

$$\frac{52}{36}+\frac{77}{36}-\frac{7}{6}$$

Since \frac{52}{36} and \frac{77}{36} have the same denominator, add them by adding their numerators.

$$\frac{52+77}{36}-\frac{7}{6}$$

Add 52 and 77 to get 129.

$$\frac{129}{36}-\frac{7}{6}$$

Reduce the fraction \frac{129}{36} to lowest terms by extracting and canceling out 3.

$$\frac{43}{12}-\frac{7}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{43}{12} and \frac{7}{6} to fractions with denominator 12.

$$\frac{43}{12}-\frac{14}{12}$$

Since \frac{43}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-14}{12}$$

Subtract 14 from 43 to get 29.

$$\frac{29}{12}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2.4166666666666665$$