Solve 5/4+106/9

$$\frac{ 5 }{ 4 } +10 \frac{ 6 }{ 9 }$$

Evaluate

$$\frac{143}{12}\approx 11.916666667$$

Solution Steps

Multiply 10 and 9 to get 90.

$$\frac{5}{4}+\frac{90+6}{9}$$

Add 90 and 6 to get 96.

$$\frac{5}{4}+\frac{96}{9}$$

Reduce the fraction \frac{96}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}+\frac{32}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{32}{3} to fractions with denominator 12.

$$\frac{15}{12}+\frac{128}{12}$$

Since \frac{15}{12} and \frac{128}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+128}{12}$$

Add 15 and 128 to get 143.

$$\frac{143}{12}$$

Factor

$$\frac{11 \cdot 13}{2 ^ {2} \cdot 3} = 11\frac{11}{12} = 11.916666666666666$$