Solve 10.127/9+32/3

$$10.12 \frac { 7 } { 9 } + 3 \frac { 2 } { 3 }$$

Evaluate

$$\frac{3277}{225}\approx 14.564444444$$

Solution Steps

Multiply 10.12 and 9 to get 91.08.

$$\frac{91.08+7}{9}+\frac{3\times 3+2}{3}$$

Add 91.08 and 7 to get 98.08.

$$\frac{98.08}{9}+\frac{3\times 3+2}{3}$$

Expand \frac{98.08}{9} by multiplying both numerator and the denominator by 100.

$$\frac{9808}{900}+\frac{3\times 3+2}{3}$$

Reduce the fraction \frac{9808}{900} to lowest terms by extracting and canceling out 4.

$$\frac{2452}{225}+\frac{3\times 3+2}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{2452}{225}+\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{2452}{225}+\frac{11}{3}$$

Least common multiple of 225 and 3 is 225. Convert \frac{2452}{225} and \frac{11}{3} to fractions with denominator 225.

$$\frac{2452}{225}+\frac{825}{225}$$

Since \frac{2452}{225} and \frac{825}{225} have the same denominator, add them by adding their numerators.

$$\frac{2452+825}{225}$$

Add 2452 and 825 to get 3277.

$$\frac{3277}{225}$$

Factor

$$\frac{29 \cdot 113}{3 ^ {2} \cdot 5 ^ {2}} = 14\frac{127}{225} = 14.564444444444444$$