Question

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

Answer 1

The ratios that sould be compared are:

$\frac{1.2}{14},\frac{1.4}{16}$

Remember that when comparing two ratios:

$\frac{a}{b}<\frac{c}{d}$

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:

$1.2\times16<1.4\times14$

Therefore:

$\frac{1.2}{14}<\frac{1.4}{16}$