Question

What is 4 1/3 × 2 3/5? express it in lowest terms​

Answer 1

We have,

`4(1)/(3)\cdot2(3)/(5)=(13)/(3)\cdot(13)/(5)=(13\cdot13)/(3\cdot5)=(169)/(15)=\boxed{11.2\bar{6}}`

To express periodic number calculated we use:

`x=11.2\bar{6}\\10x = 112.\bar{6}\\100x=1126.\bar{6}\\90x=100x-10x\Longrightarrow90x=1126.\bar6-112.\bar6\\90x=1014\\x=(1014)/(90)=\boxed{11(24)/(90)}`

Hope this helps.

r3t40