Name: Conversion Between Fraction, Decimal & Percentage
Uploaded: 2019-07-19
Duration: 5 min 20 s
Description: Let's watch this video to learn how to express the same number in fractions, decimals and percentages. To know more, explore this video.

Question

Which is the largest number in the following group? Justify your answers.

$\frac{3}{15} or \frac{2}{9}$

Accepted Answer

Given,

$\frac{3}{15}, \frac{2}{9}$

To compare both the fractions, we will convert both the fractions into percentage.

To convert fraction into percentage, simplify the fraction then rewrite as an equivalent fraction out of $100$ . Then rewrite the fraction as a percentage.

So, $\frac{3}{15} = \frac{3 \div 3}{15 \div 3} = \frac{1}{5}$

Then $\frac{1}{5} = \frac{1 \times 20}{5 \times 20} = \frac{20}{100} = 20 %$

Now, to convert fraction into recurring decimal number, follow the steps given below:

Step 1: Determine the number of $9' s$ in the denominator, this is the number of repeating digits in the decimal.

Step 2: Place the numerator in those decimal places.

Step 3: Draw a line over the top of the decimal to represent the infinite repeating of those digits.

So, $\frac{2}{9} = 0 . \bar{2}$

And to convert decimal number to percentage, multiply it by $100$ .

So, $0 . \bar{2} = 0 . \bar{2} \times 100 % = 0.222 \bar{2} \times 100 % = 22.22 %$

Now, on comparing $20 % and 22.22 %$ ,

$22.22 % > 20 %$

$\frac{2}{9} > \frac{3}{15}$

Hence, $\frac{2}{9}$ is the largest fraction.

Which is the largest number in the following group? Justify your answers.

$\frac{3}{15} or \frac{2}{9}$

Important Questions on Percentages Inequality and Difference

Learn and Prepare for any exam you want !

Which is the largest number in the following group? Justify your answers. 315 or 29

Important Questions on Percentages Inequality and Difference

Learn and Prepare for any exam you want !

Which is the largest number in the following group? Justify your answers.

$\frac{3}{15} or \frac{2}{9}$