Solve 42/3+57/9

$$4 \frac { 2 } { 3 } + 5 \frac { 7 } { 9 }$$

Evaluate

$$\frac{94}{9}\approx 10.444444444$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}+\frac{5\times 9+7}{9}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}+\frac{5\times 9+7}{9}$$

Multiply 5 and 9 to get 45.

$$\frac{14}{3}+\frac{45+7}{9}$$

Add 45 and 7 to get 52.

$$\frac{14}{3}+\frac{52}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{14}{3} and \frac{52}{9} to fractions with denominator 9.

$$\frac{42}{9}+\frac{52}{9}$$

Since \frac{42}{9} and \frac{52}{9} have the same denominator, add them by adding their numerators.

$$\frac{42+52}{9}$$

Add 42 and 52 to get 94.

$$\frac{94}{9}$$

Factor

$$\frac{2 \cdot 47}{3 ^ {2}} = 10\frac{4}{9} = 10.444444444444445$$