Question

$$\frac{ 3 }{ 5 } + \frac{ 1 }{ 5 } + \frac{ 3 }{ 20 }$$

Answer

19/20

Solution


Find the Least Common Denominator (LCD) of \(\frac{3}{5},\frac{1}{5},\frac{3}{20}\). In other words, find the Least Common Multiple (LCM) of \(5,5,20\).
LCD = \(20\)
Make the denominators the same as the LCD.
\[\frac{3\times 4}{5\times 4}+\frac{1\times 4}{5\times 4}+\frac{3}{20}\]
Simplify. Denominators are now the same.
\[\frac{12}{20}+\frac{4}{20}+\frac{3}{20}\]
Join the denominators.
\[\frac{12+4+3}{20}\]
Simplify.
\[\frac{19}{20}\]

Decimal Form: 0.95