Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# Convert the following ratios to percentages.(i) $3:4$ (ii) $2:3$

Last updated date: 20th Jun 2024
Total views: 394.8k
Views today: 6.94k
Verified
394.8k+ views
Hint: First rewrite the ratio into fraction .Once we have rewritten it then round the percentage which we get after multiplying fraction from the ratio with 100.

Formula Used:
$\dfrac{x}{y}*100{\rm{ }}\%$

Let’s start with part 1 $3:4$
$3:4$ Means we are dividing 3 with 4 which means Here 3 is numerator and 4 is denominator.
So, we can write it as $\dfrac{3}{4}$ , so that we can easily write and use it further.
Multiply ratio $\dfrac{3}{4}$ with 100 to get the percentage of this ratio.
$\dfrac{3}{4}*100$
As 3 is not divisible by 4 so divide 100 by 4 and then solve to get a percentage.
$3*\dfrac{{100}}{4}$
After dividing 100 by 4. Result is 25, now multiplying that with 3
$3*25$
Which is 75 percent.
$\Rightarrow \dfrac{3}{4}*100 = 3*25 = 75$
Hence, $3:4$ is equal to 75 percent.
$\Rightarrow 3:4 = 75\%$
Let’s start with part 1 $2:3$
$2:3$ Means we are dividing 3 with 4 which means Here 2 is numerator and 3 is denominator.
So, we can write it as $\dfrac{2}{3}$ , so that we can easily write and use it further.

Multiply ratio $\dfrac{2}{3}$ with 100 to get the percentage of this ratio.
$\dfrac{2}{3}*100$
As 2 is not divisible by 3 so divide 100 by 3 for easier calculations.
$2*\dfrac{{100}}{3}$
After dividing 100 by 3. Result is 33.33, now multiplying that with 2
$2*33.33$
Which is 66.66 .
$\Rightarrow \dfrac{2}{3}*100 = 2*33.33 = 66.66\%$
Hence, $3:4$ is equal to 66.66 percent.
$\Rightarrow 2:3 = 66.66\%$

Additional Information: For easier calculations we should always divide denominators with 100, it will make dividing easy for us as 100 is divisible by many numbers.

Note: Writing ratio as fraction helps us with dividing and multiplying. Once the fraction is multiplied by 100 we will get the exact percentage of that ratio.