Question

Which ratio is greater: $7:10$ or $35:40$

Answer 1

Step 1: First convert ratio into fraction

Given ratios are $7:10$ or $35:40$

$7:10=\frac{7}{10}$ and $35:40=\frac{35}{40}$

As the denominators of both fraction are different.

Take the lcm of the denominator , that will be $40.$

Then multiply both the numerator and denominator by the suitable number, but denominator should be $40.$

$\Rightarrow \frac{7}{10}\times \frac{4}{4}=\frac{28}{40}$

$\Rightarrow \frac{35}{40}\times \frac{1}{1}=\frac{35}{40}$

Strep 2: Compare the numerator of the above fraction

If the denominators are same, we can compare the numerators, the fraction with the bigger numerator is the larger fraction

Here $28<35$

Then, $\frac{28}{40}<\frac{35}{40}$

So $7:10<35:40$

Hence, the greater ratio is $35:40$