Solve 81/38*16+0.5

$$\frac{ 81 }{ 38 } \times 16+0.5$$

Evaluate

$$\frac{1315}{38}\approx 34.605263158$$

Solution Steps

Express \frac{81}{38}\times 16 as a single fraction.

$$\frac{81\times 16}{38}+0.5$$

Multiply 81 and 16 to get 1296.

$$\frac{1296}{38}+0.5$$

Reduce the fraction \frac{1296}{38} to lowest terms by extracting and canceling out 2.

$$\frac{648}{19}+0.5$$

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.

$$\frac{648}{19}+\frac{1}{2}$$

Least common multiple of 19 and 2 is 38. Convert \frac{648}{19} and \frac{1}{2} to fractions with denominator 38.

$$\frac{1296}{38}+\frac{19}{38}$$

Since \frac{1296}{38} and \frac{19}{38} have the same denominator, add them by adding their numerators.

$$\frac{1296+19}{38}$$

Add 1296 and 19 to get 1315.

$$\frac{1315}{38}$$

Factor

$$\frac{5 \cdot 263}{2 \cdot 19} = 34\frac{23}{38} = 34.60526315789474$$