Question

9Let's compare3and410First, write the fractions with the same denominator.ロ<ロロロ|D=093Х5?.104Then, use , = , or > to compare the fractions.9310

Answer 1

SOLUTION

Now we are comparing

$\frac{9}{10},\frac{3}{4}$

To write them in the same denominator, we find the LCM of their denominator. That is we find the LCM of 10 and 4. This is

$10\times4=40$

So we have

$\begin{gathered} \frac{9}{10},\frac{3}{4} \\ 40\div10=4\text{ and 4 }\times9=36 \\ 40\div4=10\text{ and 10 }\times3=30 \\ we\text{ have } \\ =\frac{36\text{ and }30\text{ }}{40} \end{gathered}$

Hence

$\frac{9}{10}=\frac{36}{40}$

and

$\frac{3}{4}=\frac{30}{40}$

So we can see that

$\frac{36}{40}>\frac{30}{40}$

Hence the answer is

$\frac{9}{10}>\frac{3}{4}$