3 8 Equals What Percent

Fractions and percent are the two terms we generally use in comparing quantities. Percentage or pct refers to the fractions of a whole, while per centum is how much of the whole thing and is easier to call back than a fraction.

To empathize the concept of fraction and percent, consider that if a class has 38 students – among them 23 are female. Now, what is the per centum of female students?

It is 23 out of 38. To simplify: 23/38 =0.60526315789473684210526315789474 or about 60%.

To know how to convert fractions to percent, yous demand to know the formula for a fraction to percent conversion. Before that, empathise what is fraction and pct in detail.

What is a Fraction?

The term fraction acts as a number of equal parts or a part of a whole quantity. In other words, it represents how many parts of a sure size divided the whole quantity. A uncomplicated fractionane/iiconsists of a numerator and a denominator. The numerator is written above the line, while the denominator is written below.

The numerator indicates some equal parts of a whole, while the denominator represents how many parts consists of a whole, which cannot be cipher. Consider the fraction iii/4. Here the numerator is 3 – that means three equal parts, and the denominator is four – indicating four parts make up a whole.

The beneath figure shows the conversion of a fraction to percent .

Fraction to percent

What is Percent?

The term percent is a ratio or a number that is expressed as a fraction of 100. Information technology is denoted using the percentage sign %. To empathise the concept of how the pct represents the fraction of 100, here is an instance. 35% can be written in fraction as 35/100. In class, 50% of the students were male, which ways out of every 100 students, 50 were male.

Per centum Formula

A pct is a number or ratio whose denominator is equal to 100. The percentage formula is given as follows:

For example, if nosotros want to detect 10% of 150, it can exist washed every bit:

(x/ 100)× 150 = 1500/ 100

= 15

Thus, ten% of 150 is 15.

How to Convert Fraction to Pct?

To convert fraction to a percent, you just demand to multiply the fraction past 100 and reduce it to percent. Here are a few examples that volition requite you a articulate understanding of how to convert fraction to a per centum. To convert a fraction into pct, follow the steps given beneath:

Convert the fraction into a decimal number.
Multiply the obtained decimal number past 100, to get a percent value

As well, endeavour out: fraction to per centum calculator.

Fraction to Percent Conversion Tabular array

The fraction to percent table is given beneath for a few fractions. This table helps in solving many numerical problems in maths.

Fraction	Percent
i/2	50 %
1/three	33.33 %
two/3	66.67 %
i/iv	25 %
2/4	50 %
3/4	75 %
1/5	20 %
two/5	40 %
3/5	60 %
four/5	80 %
1/half dozen	16.67 %
two/6	33.33 %
iii/6	fifty %
four/6	66.67 %
5/6	83.33 %
1/seven	fourteen.285714 %
2/seven	28.571429 %
3/7	42.857143 %
4/7	57.142858 %
v/7	71.428571 %
half dozen/seven	85.714286 %
ane/8	12.5 %
two/8	25 %
3/8	37.five %
4/8	l %
5/8	62.5 %
half dozen/8	75 %
seven/8	87.5 %
1/nine	11.111111 %
2/ix	22.222222 %
three/nine	33.333333 %
iv/9	44.444444 %
5/9	55.555556 %
6/9	66.666667 %
7/9	77.777778 %
8/9	88.888889 %
one/10	x %
2/10	twenty %
3/10	thirty %
4/10	40%
5/10	50 %
vi/x	threescore %
7/10	70 %
eight/ten	fourscore %
9/ten	90 %

Examples of Fraction to Per centum

Example 1: Convert 3/4 to a percent.

Solution:

Pace ane: Catechumen the fraction 3/4 into decimal

Step 2: iii/4 = 0.75

Pace three: Multiply the decimal by 100: 0.75 × 100 = 75%

Therefore, the solution is 75%.

Case two: Convert three/16to percent.

Solution:

Footstep 1: Convert the fraction 3/16 into decimal

Pace 2: 3/16 =0.1875

Step 3:Multiply the decimal by 100: 0.1875 × 100 = xviii.75%

Therefore, the solution is 18.75 %.

Example 3: In a cricket tournament, squad Blood-red has won 7 games out of viii games played, while team Blue has won nineteen out of 20 games played. Which cricket team has a higher percentage of wins?

Solution:

Team Crimson: Won 7 out of 8 games played: 7/viii

Step ane: Catechumen the fraction 7/eight into decimal

Step 2:seven/eight = 0.875

Step 3:Multiply the decimal by 100: 0.875 × 100 = 87.5%

Team Blue: Won 19 out of 20 games played: 19/20

Step 1: Convert the fraction 19/20 into decimal

Stride 2: 19/20 = 0.95

Pace 3:Multiply the decimal by 100: 0.95 × 100 = 95%

Team Red has 87.v%of winning charge per unit, while squad Blueish has a95 % winning rate.

Therefore, squad Blue has a higher pct of wins with 95 %.

To learn more than about conversion, register with BYJU'S – The Learning App and download the app to learn with ease.

Frequently Asked Questions – FAQs

How do you convert fraction to a percentage?

To catechumen a fraction to a percent follow the steps given below:
Stride one: Divide the numerator by the denominator
Footstep two: Multiply the resulting decimal of the higher up sectionalization by 100
Pace three: Express the value using the symbol "%"

What is 1/3 equally a percent?

Dividing i by 3,
1/3 = 0.3333…
Multiplying the higher up decimal by 100,
0.3333 × 100 = 33.33%
Thus, the fraction is equivalent to 33.33 per centum.

How do you lot turn iii/8 into a percent?

Dividing 3 by 8,
3/8 = 0.375
Now, multiplying the decimal past 100,
0.375 × 100 = 37.5%
Therefore, 3/8 is equivalent to 37.five percent.

What is 7/8 as a percent?

Dividing 7 by 8,
7/viii = 0.875
Now, multiplying the decimal by 100,
0.875 × 100 = 87.5%
Therefore, 7/8 is equal to 87.5 percentage.

What is five/8 as a percentage?

Dividing v by 8,
v/eight = 0.625
Now, multiplying the obtained decimal by 100,
0.625 × 100 = 62.5%
Thus, 5/8 tin can exist written as 62.v percent.

What is 3/x as a percent?

Dividing 3 past 10,
3/10 = 0.3
Now, multiplying the obtained decimal by 100,
0.3 × 100 = 30%
Thus, 3/10 tin be represented as 30 percentage.