Examples with solutions for Quantity, percentage, percentage value: Convert fractions to percentages

Exercise #1

Convert the following fraction into a percentage:

1520=? \frac{15}{20}=\text{?}

Video Solution

Step-by-Step Solution

A percentage is actually a form of a fraction, or more precisely, a fraction out of a hundred.

In other words, a fraction where the denominator is always 100.

Therefore, to convert a fraction to a percentage, we multiply it so that the denominator becomes 100.

20*5=100

15*5=75

So the fraction is 75/100, and the percentage is 75%.

Answer

75%

Exercise #2

How much is the 42 % of 15?

Video Solution

Step-by-Step Solution

To solve the exercise, first we will convert the percentage to its fractional form:

42%=42100 42\%=\frac{42}{100}

Now, we multiply the fractional form by 15

15×42100= 15\times\frac{42}{100}=

Let's break down the 15 for the multiplication exercise and also the 100 in the denominator for the multiplication exercise:

3×5×425×20 3\times5\times\frac{42}{5\times20}

Keep in mind that the five in the two exercises can be reduced to maintain the exercise:

3×4220=3×(2×21)2×10 3\times\frac{42}{20}=\frac{3\times(2\times21)}{2\times10}

Here we can also reduce the 2 in the numerator and the denominator:

3×2110=6310=6.3 \frac{3\times21}{10}=\frac{63}{10}=6.3

Answer

6.3

Exercise #3

Convert the following fraction into a percentage:

2040=? \frac{20}{40}=\text{?}

Video Solution

Answer

50%

Exercise #4

What is 70% of 90?

Video Solution

Answer

63

Exercise #5

How much is the 20 % of 60?

Video Solution

Answer

12

Exercise #6

How much is the 83 % of 4300?

Video Solution

Answer

3569

Exercise #7

How much is the 95 % of 180?

Video Solution

Answer

171

Exercise #8

How much is the 30 % of 90?

Video Solution

Answer

27

Exercise #9

How much is the 72 % of 5100?

Video Solution

Answer

3672

Exercise #10

How much is 30% of 40?

Video Solution

Answer

12 12