Solve 27/10+5/18

$$2 \frac { 7 } { 10 } + \frac { 5 } { 18 }$$

Evaluate

$$\frac{134}{45}\approx 2.977777778$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{20+7}{10}+\frac{5}{18}$$

Add 20 and 7 to get 27.

$$\frac{27}{10}+\frac{5}{18}$$

Least common multiple of 10 and 18 is 90. Convert \frac{27}{10} and \frac{5}{18} to fractions with denominator 90.

$$\frac{243}{90}+\frac{25}{90}$$

Since \frac{243}{90} and \frac{25}{90} have the same denominator, add them by adding their numerators.

$$\frac{243+25}{90}$$

Add 243 and 25 to get 268.

$$\frac{268}{90}$$

Reduce the fraction \frac{268}{90} to lowest terms by extracting and canceling out 2.

$$\frac{134}{45}$$

Factor

$$\frac{2 \cdot 67}{3 ^ {2} \cdot 5} = 2\frac{44}{45} = 2.977777777777778$$