Percentages And Its Conversion To Fractions And Decimals

Consider an example of scoring in a subject by a student.
Let's say a student scores 70% marks in a class test of a math subject.
So, what does 70% marks represent?
70% will be read as 70 percent and it tells that the student scored 70 marks out of one hundred.

70% marks can also be represented pictorially in a grid of 10 x 10. 70 marks are scored out of 100. The grid has a total of 100 boxes and 70 boxes are shaded which represents the 70% scored marks.

Example 1: 10% of 25kg
Step 1: Write the given percentage in fractional number, which is 10%.
10% = $\frac{10}{100}$
Step 2: Multiply it by total amount of quantity, which is 25kg.
$\frac{10}{100}\times 25$
= $\frac{25}{10}$
= 2.5kg

Example 2: $5\frac{1}{2}\%$ of 160 litres.
= $\frac{11}{2}\%$ of 160 litres
= $\frac{11}{2\times 100}\times 160$
= $\frac{11}{20}\times 16$
= $\frac{11}{5}\times 4$
= $\frac{44}{5}$
= 8.8 litres

Example 1: Calculate what percentage 50ml is of 5 litre.
1 litre = 1000 ml
5 litre = 5 × 1000 = 5000ml
To calculate what percent of 50 ml is 5 litre.
Step 1: Divide the one number by another number
$\frac{50}{5000}\times 100$
= 1%

Example 2: Calculate what percentage 60cm is of 5m.
1 meter = 100 cm
5 meter = 5 × 100 = 500cm
To calculate what percent of 60cm is 5 metre or 500cm.
Step 1: divide the one number by another number
$\frac{60}{500}\times 100$
= 12%

Example 1: Convert 40% to fraction.
= $\frac{40}{100}=\frac{2}{5}$

Example 2: Convert 53% to fraction.
= $\frac{53}{100}$

Example 1: Convert fraction $\frac{18}{100}$ to percentage.
$\frac{18}{100}$ = 18%

Example 2: Convert fraction $\frac{45}{100}$ to percentage.
$\frac{45}{100}$ = 45%

Example 1: Convert fraction $\frac{3}{5}$ to percentage.
= $\frac{3}{5}\times 100$
= $\frac{300}{5}$
= 60%

Example 2: Convert fraction $3\frac{1}{2}$ to percentage.
= $\frac{7}{2}\times 100$
= $\frac{700}{2}$
= 350%

Example 1: Express fraction $\frac{3}{5}$v to percentage.
= $\frac{3}{5}\times \frac{20}{20}$
= $\frac{60}{100}$
= 60%

Example 2: Express fraction $3\frac{1}{2}$ to percentage.
= $\frac{7}{2}$
= $\frac{7}{2}\times \frac{50}{50}$
= $\frac{350}{100}$
= 350%

Example 1: Convert 0.15 to percentage.
= $\frac{15}{100}\times 100$
= 15.00
= 15%

Example 2: Convert 1.123 to percentage.
= $\frac{1123}{1000}\times 100$
= $\frac{1123}{10}$
= 112.3%

Example 1: Convert 15% to decimals.
15% = $\frac{15}{100}$
= 0.15

Example 2: Convert 1.123 to decimals.
1.123% = $\frac{1.123}{100}$
= $\frac{1123}{100\times 1000}$
= $\frac{1123}{100000}$
= 0.01123