Convert Fraction to Percentage: Solving 3.3/10 Step-by-Step

Question

Convert the fraction $\frac{3.3}{10}$ into a percentage.

00:00 Convert fraction to percentage

00:05 To convert a fraction to percentage, the denominator needs to be 100

00:10 Then the percentage is actually the numerator (X)

00:15 We'll use this formula in our exercise

00:20 We'll multiply numerator and denominator by 10 to get a denominator equal to 100

00:25 Let's calculate

00:40 And this is the solution to the question

When we have a fraction whose denominator is not 100, we will have to convert it to 100

That is:

$10\times10=100$

Now we also multiply the numerator by 10:

$\frac{3.3\times10}{10\times10}=\frac{33}{100}$

Now we use the formula:

$\frac{x}{100}=x\%$

$\frac{33}{100}=33\%$

33%