Solve 77/9+83/10

$$7 \frac { 7 } { 9 } + 8 \frac { 3 } { 10 }$$

Evaluate

$$\frac{1447}{90}\approx 16.077777778$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+7}{9}+\frac{8\times 10+3}{10}$$

Add 63 and 7 to get 70.

$$\frac{70}{9}+\frac{8\times 10+3}{10}$$

Multiply 8 and 10 to get 80.

$$\frac{70}{9}+\frac{80+3}{10}$$

Add 80 and 3 to get 83.

$$\frac{70}{9}+\frac{83}{10}$$

Least common multiple of 9 and 10 is 90. Convert \frac{70}{9} and \frac{83}{10} to fractions with denominator 90.

$$\frac{700}{90}+\frac{747}{90}$$

Since \frac{700}{90} and \frac{747}{90} have the same denominator, add them by adding their numerators.

$$\frac{700+747}{90}$$

Add 700 and 747 to get 1447.

$$\frac{1447}{90}$$

Factor

$$\frac{1447}{2 \cdot 3 ^ {2} \cdot 5} = 16\frac{7}{90} = 16.07777777777778$$