Question

Compare the ratios 1.2/14 and 1.4/16 . Write <, =, or >

Answer 1

The ratios that sould be compared are:

`(1.2)/(14),(1.4)/(16)`

Remember that when comparing two ratios:

`(a)/(b)<(c)/(d)`

This will be satisfied if and only if:

`adTherefore, to compare the ratios 1.2/14 and 1.4/16, we have to compare:[tex](1.2)(16),(1.4)(14)`

Since (1.2)(16)=19.2 and (1.4)(14)=19.6, and 19.2<19.6 then:

`1.2*16<1.4*14`

Therefore:

`(1.2)/(14)<(1.4)/(16)`