Question

Simplify each of the following ratios in its simplest form. .1.44 : 0.48 .15/28:18/7 .2.4:6/5

Answer 1

Part 1)
`(3)/(1)` or
`3:1`

Part 2)
`(5)/(24)` or
`5:24`

Part 3)
`(6)/(5)` or
`6:5`

Explanation:

Part 1) we have

`1.44 : 0.48`

Rewrite

`(1.44)/(0.48)`

Multiply by 100 both numerator and denominator

`(144)/(48)`

Simplify

`(3)/(1)` or
`3:1`

Part 2) we have

`15/28:18/7`

Multiply the term 18/7 by 4 both numerator and denominator

`(18*4)/(7*4)=(72)/(28)`

substitute

`15/28:72/28`

simplify

`15:72`

Rewrite

`(15)/(72)`

Simplify

`(5)/(24)` or
`5:24`

Part 3) we have

`2.4:6/5`

Remember that

`6/5=1.2`

substitute

`2.4:1.2`

Simplify

Divide by 1.2 both numbers

`1.2:1`

Rewrite

`(1.2)/(1)`

Multiply by 10 both numerator and denominator

`(1.2*10)/(1*10)=(12)/(10)`

Simplify

`(6)/(5)` or
`6:5`