Solve (35/12+47/12)-52/9

$$( 3 \frac { 5 } { 12 } + 4 \frac { 7 } { 12 } ) - 5 \frac { 2 } { 9 }$$

Evaluate

$$\frac{25}{9}\approx 2.777777778$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+5}{12}+\frac{4\times 12+7}{12}-\frac{5\times 9+2}{9}$$

Add 36 and 5 to get 41.

$$\frac{41}{12}+\frac{4\times 12+7}{12}-\frac{5\times 9+2}{9}$$

Multiply 4 and 12 to get 48.

$$\frac{41}{12}+\frac{48+7}{12}-\frac{5\times 9+2}{9}$$

Add 48 and 7 to get 55.

$$\frac{41}{12}+\frac{55}{12}-\frac{5\times 9+2}{9}$$

Since \frac{41}{12} and \frac{55}{12} have the same denominator, add them by adding their numerators.

$$\frac{41+55}{12}-\frac{5\times 9+2}{9}$$

Add 41 and 55 to get 96.

$$\frac{96}{12}-\frac{5\times 9+2}{9}$$

Divide 96 by 12 to get 8.

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

Multiply 5 and 9 to get 45.

$$8-\frac{45+2}{9}$$

Add 45 and 2 to get 47.

$$8-\frac{47}{9}$$

Convert 8 to fraction \frac{72}{9}.

$$\frac{72}{9}-\frac{47}{9}$$

Since \frac{72}{9} and \frac{47}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-47}{9}$$

Subtract 47 from 72 to get 25.

$$\frac{25}{9}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$