Solve 31/9+11/8

$$3 \frac { 1 } { 9 } + 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{305}{72}\approx 4.236111111$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+1}{9}+\frac{1\times 8+1}{8}$$

Add 27 and 1 to get 28.

$$\frac{28}{9}+\frac{1\times 8+1}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{28}{9}+\frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{28}{9}+\frac{9}{8}$$

Least common multiple of 9 and 8 is 72. Convert \frac{28}{9} and \frac{9}{8} to fractions with denominator 72.

$$\frac{224}{72}+\frac{81}{72}$$

Since \frac{224}{72} and \frac{81}{72} have the same denominator, add them by adding their numerators.

$$\frac{224+81}{72}$$

Add 224 and 81 to get 305.

$$\frac{305}{72}$$

Factor

$$\frac{5 \cdot 61}{2 ^ {3} \cdot 3 ^ {2}} = 4\frac{17}{72} = 4.236111111111111$$