Solve 5*(1/38+1/58)

$$5 \times ( \frac { 1 } { 38 } + \frac { 1 } { 58 } )$$

Evaluate

$$\frac{120}{551}\approx 0.217785844$$

Solution Steps

Least common multiple of 38 and 58 is 1102. Convert \frac{1}{38} and \frac{1}{58} to fractions with denominator 1102.

$$5\left(\frac{29}{1102}+\frac{19}{1102}\right)$$

Since \frac{29}{1102} and \frac{19}{1102} have the same denominator, add them by adding their numerators.

$$5\times \frac{29+19}{1102}$$

Add 29 and 19 to get 48.

$$5\times \frac{48}{1102}$$

Reduce the fraction \frac{48}{1102} to lowest terms by extracting and canceling out 2.

$$5\times \frac{24}{551}$$

Express 5\times \frac{24}{551} as a single fraction.

$$\frac{5\times 24}{551}$$

Multiply 5 and 24 to get 120.

$$\frac{120}{551}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{19 \cdot 29} = 0.2177858439201452$$