Solve sqrt{0.25}+82/3

$$\sqrt { 0.25 } + 8 \frac { 2 } { 3 }$$

Evaluate

$$\frac{55}{6}\approx 9.166666667$$

Solution Steps

Calculate the square root of 0.25 and get 0.5.

$$0.5+\frac{8\times 3+2}{3}$$

Multiply 8 and 3 to get 24.

$$0.5+\frac{24+2}{3}$$

Add 24 and 2 to get 26.

$$0.5+\frac{26}{3}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{26}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{26}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{52}{6}$$

Since \frac{3}{6} and \frac{52}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+52}{6}$$

Add 3 and 52 to get 55.

$$\frac{55}{6}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3} = 9\frac{1}{6} = 9.166666666666666$$