Question

(1/6+1/10+1/15):(1/6+1/10+1/15)

Answer 1

`(1/6+1/10+1/15):(1/6+1/10+1/15)`

`=(5/30 + 3/30 + 2/30) : (5/30 + 3/30 + 2/30)`

\(=\left(\dfrac{5+3+2}{30}\right):\left(\dfrac{5+3+2}{30}\right)\)

`=10/30 : 10/30`

`=1/3 : 1/3`

`=1/3 xx 3`

`=3/3`

`=1`

Answer 2

\(\left(\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{15}\right):\left(\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{15}\right)\)

\(=\left(\dfrac{5}{30}+\dfrac{3}{30}+\dfrac{2}{30}\right):\left(\dfrac{5}{30}+\dfrac{3}{30}+\dfrac{2}{30}\right)\)

\(=\left(\dfrac{5+3+2}{30}\right):\left(\dfrac{5+3+2}{30}\right)\)

\(=\dfrac{1}{3}:\dfrac{1}{3}\)

\(=\dfrac{1}{3}.\dfrac{3}{1}=\dfrac{3}{3}=1\)