Percentage is a way of expressing a quantity or amount as a fraction of 100.

It is represented by the symbol “%”.

For example, if you scored 85 out of 100 in a test, your percentage score would be 85%.

To express percentages in fractions, simply divide the percentage by 100 and simplify the resulting fraction if possible.

For example:

25% = 25/100 = 1/4

75% = 75/100 = 3/4

60% = 60/100 = 3/5

10% = 10/100 = 1/10

To express percentages in decimals, simply divide the percentage by 100.

For example:

25% = 25/100 = 0.25

75% = 75/100 = 0.75

60% = 60/100 = 0.60

10% = 10/100 = 0.10

Let’s Do Some Practice

###### 1.Express 40% as a fraction and a decimal.

Solution:

40% = 40/100 = 2/5 = 0.40

###### 2.Express 125% as a fraction and a decimal.

Solution:

125% = 125/100 = 5/4 = 1.25

###### 3.Express 3/5 as a percentage and a decimal.

Solution:

3/5 = 60/100 = 60% = 0.60

###### 4.Express 0.75 as a percentage and a fraction.

Solution:

0.75 = 75/100 = 75% = 3/4

5.Express 1/8 as a percentage and a decimal.

Solution:

1/8 = 12.5% = 0.125

###### 6.Express 80% as a fraction and a decimal.

Solution:

80% = 80/100 = 4/5 = 0.80

###### 7.Express 5/6 as a percentage and a decimal.

Solution:

5/6 = 83.33% = 0.8333

###### 8.Express 150% as a fraction and a decimal.

Solution:

150% = 150/100 = 3/2 = 1.50

###### 9.Express 0.125 as a percentage and a fraction.

Solution:

0.125 = 12.5% = 1/8

###### 10.Express 0.4 as a percentage and a fraction.

Solution:

0.4 = 40% = 2/5

###### 11.Express 2.5% as a fraction and a decimal.

Solution:

2.5% is equivalent to 2.5/100, which can be simplified to 1/40 as a fraction.

As a decimal, 2.5% is equal to 0.025.

###### 12.Express 60% as a fraction and a decimal.

Solution:

60% is equivalent to 60/100, which can be simplified to 3/5 as a fraction.

As a decimal, 60% is equal to 0.6.

Now General Percentage Problems

Requested By:

###### Question 1:

What percentage is equivalent to 3/4?

Solution:

We can set up a proportion: x/100 = 3/4,

where x is the percentage we’re trying to find. Cross-multiplying,

we get 4x = 300, so x = 75%.

Therefore, 3/4 is equivalent to 75%.

Requested by: Asif

###### Question 2:

If 40% of a number is 24, what is the number?

Solution:

We can set up a proportion: 40/100 = 24/x,

where x is the number we’re trying to find.

Cross-multiplying,

we get 40x = 2400, so x = 60.

Therefore, the number is 60.

Requested by: Ahmed Ali

###### Question 3:

What is 15% of 80?

Solution:

To find 15% of 80,

we can multiply 80 by 0.15.

This gives us 12.

Requested by: Ahmed Ali

###### Question 4:

If a pizza has 12 slices and a person eats 3 slices, what percentage of the pizza did they eat?

Solution:

To find the percentage, we can divide the number of slices eaten by the total number of slices and then multiply by 100.

This gives us (3/12) x 100 = 25%.

Therefore, the person ate 25% of the pizza.

Requested by: Ali Nawaz

###### Question 5:

A recipe calls for 1/2 cup of sugar for every 2 cups of flour. What percentage of the recipe is sugar?

Solution:

To find the percentage, we can divide the amount of sugar by the total amount of ingredients (sugar + flour) and then multiply by 100.

This gives us (1/2) / (1/2 + 2) x 100 = 20%.

Therefore, sugar makes up 20% of the recipe.

Requested by: Ali Nawaz

###### Question 6:

A recipe calls for 3/4 cup of milk for every 1 cup of flour. What percentage of the recipe is milk?

Solution:

To find the percentage, we can divide the amount of milk by the total amount of ingredients (milk + flour) and then multiply by 100.

This gives us (3/4) / (3/4 + 1) x 100 = 42.86% (rounded to two decimal places).

Therefore, milk makes up 42.86% of the recipe.

Requested by: Ali Nawaz

###### Question 7:

A pizza has 8 slices and a person eats 2 slices. What percentage of the pizza did they eat?

Solution:

To find the percentage, we can divide the number of slices eaten by the total number of slices and then multiply by 100.

This gives us (2/8) x 100 = 25%.

Therefore, the person ate 25% of the pizza.

Requested by: Ali Nawaz

###### Question 8:

A recipe calls for 2 cups of flour and 1 cup of sugar. If a baker wants to make a smaller batch using only 1 cup of flour, how much sugar should they use?

Answer:

(1/2 x 1 = 0.5)

The baker should use 0.5 cups of sugar

Requested by: Meer Muhammad

###### Question 9:

A car rental company charges $50 per day for a rental car, with an additional charge of 10 cents per mile driven.

If a customer rents a car for 3 days and drives 150 miles, how much will they be charged?

Answer:

($50 x 3 + $0.10 x 150 = $65)

The customer will be charged $65

Requested by: Sarfaraz Ahmed

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