Solve 5/4+87/9

$$\frac{ 5 }{ 4 } + 8 \frac { 7 } { 9 }$$

Evaluate

$$\frac{361}{36}\approx 10.027777778$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{5}{4}+\frac{72+7}{9}$$

Add 72 and 7 to get 79.

$$\frac{5}{4}+\frac{79}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{5}{4} and \frac{79}{9} to fractions with denominator 36.

$$\frac{45}{36}+\frac{316}{36}$$

Since \frac{45}{36} and \frac{316}{36} have the same denominator, add them by adding their numerators.

$$\frac{45+316}{36}$$

Add 45 and 316 to get 361.

$$\frac{361}{36}$$

Factor

$$\frac{19 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 10\frac{1}{36} = 10.027777777777779$$