FDP - Trio — lesson. Maths CBSE Live product, Class 8 (2026-27).

FDP - Trio

Fractions, Decimals and Percentages

Fractions, decimals and percentages are three different ways of describing a part of a quantity. They are closely connected and can often be converted from one form to another.

Example :

\frac{3}{4} = 0.75 = 75 %

All three representations describe the same quantity.

Converting a Fraction into a Percentage:

To convert a fraction into a percentage, multiply it by $100$.

Example : $\frac{3}{5} \times 100 = 60 %$

Converting a Percentage into a Fraction:

Remove the percentage symbol and write the number over $100$.

Example : $45 % = \frac{45}{100} = \frac{9}{20}$

Converting a Percentage into a Decimal:

To convert a percentage into a decimal, divide by $100$ and simplify.

Example : $35 % = \frac{35}{100} = 0.35$

Converting a Decimal into a Percenatge:

To convert a decimal to a percent, multiply the number by $100$ and add a percent sign $\%$

Example :  $0.6 \times 100 = 60 %$

Important!

Remember :

Fraction <-------> Decimal <---------> Percentage

The form may change, but the value remains the same.

Percentages Greater Than 100:

A percentage does not always have to be less than or equal to $100\%$.

$100 \%$ represents the whole quantity. A percentage greater than $100\%$ means that the quantity is greater than the whole quantity.

Understanding $100\%$

We consider the whole quantity as $100 \%$. Therefore, $100\% = 1 $

If a quantity is twice the original quantity, $200\% = 2$

If it is three times the original quantity, $300\% = 3$

Connecting Percentages Greater then 100 with Fractions and Decimals:

For Example,

$150 \% =$

\frac{150}{100} = 1.5

Thus, $150 \% = 1.5$

$225 \% =$

\frac{225}{100} = 2.25

Thus, $225 \% = 2.25$

What does the percenatge tells us?

Percentage	Fraction	Decimal	Meaning
$50 \%$	$\frac{1}{2}$	$0.5$	Half
$100\%$	$1$	$1$	Whole
$125\%$	$\frac{5}{4}$	$1.25$	$25 \%$ more than the whole
$150\%$	$\frac{3}{2}$	$1.5$	One and a half times the whole
$200\%$	$2$	$2$	Twice the whole

Important!

Quick Concept Summary:

Percenatge of a Quantity :

p % of Q = \frac{p}{100} \times Q

Fraction ----------> Percenatge

$ \text{Fraction} \times 100 = \text {Percentage}$

Percenatge ------------> Fraction

$ p \% = \frac{p}{100}$ Then, Simplify the fraction if possible.

Decimal ------------> Percentage

$\text{Decimal} \times 100 = \text{Percenatge}$

Percentage -------------> Decimal

$\text{Percentage} \div 100 = \text{Decimal}$

Percentage Greater than 100

$100\% = \text{whole quantity}$

$150\% = 1.5 \,\text{times the whole}$

$200\% = 2$$\,\text{times the whole}$

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Percentage	Fraction	Decimal	Meaning
\(50 \%\)	$\frac{1}{2}$	\(0.5\)	Half
\(100\%\)	\(1\)	\(1\)	Whole
\(125\%\)	$\frac{5}{4}$	\(1.25\)	\(25 \%\) more than the whole
\(150\%\)	$\frac{3}{2}$	\(1.5\)	One and a half times the whole
\(200\%\)	\(2\)	\(2\)	Twice the whole

1. FDP - Trio

Theory: