Question

Add 3/5+7/8+3/10In the simplest form

Answer 1

`(3)/(5)+(7)/(8)+(3)/(10)`

Find the least common denominator:

Identify the multiples of each denominator:

`\begin{gathered} 5,10,15,20,25,30,35,40,45 \\ 8,16,24,32,40,48 \\ 10,20,30,40,50 \end{gathered}`

The least common denominator is 40.

Write each equation with that denominator:

`\begin{gathered} =(3\cdot8)/(5\cdot8)+(7\cdot5)/(8\cdot5)+(3\cdot4)/(10\cdot4) \\ \\ =(24)/(40)+(35)/(40)+(12)/(40) \end{gathered}`

Add the fractions:

`\begin{gathered} =(24+35+12)/(40) \\ \\ =(71)/(40) \end{gathered}`