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Fractions, Decimals and Percents
Fractions
Dear Friend:
Now let us understand the fractions.
Fraction means a part of a whole.
Fraction is a part of a whole number.
For example, 1/2, 3/4, 2/3, 7/8 are all fractions.
A fraction has a numerator and denominator.
In fractions, the numerator is the number above the line and the denominator is the number under the line.
The numerator shows how many parts of the denominator are taken.
The denominator shows how many equal parts the whole number can be divided into.
In the fraction 2/3, the numerator is 2 and the denominator is 3. It means 2 parts of 3 are taken. It also means two third of a whole.
In the fraction 4/5, 5 is the denominator. It means the whole number is divided into 5 equal parts and out of them 4 parts are taken.
Decimals
Decimals are a method of writing fractional numbers without writing a fraction having a numerator and denominator.
For example, a fraction 5/10 could be written as the decimal 5.10.
The period sign here is called the decimal point. And the decimal point indicates that this is a decimal.
How you pronounce decimal?
The decimal 0.6 is pronounced as Zero Point six or Six Tenths.
If you write a decimal which is less than one, you always write "0" (zero) in front of the decimal point.
For example, Six Tenths, you write 0.6 and not the .6.
Decimals are fractional numbers.
Remember, decimal point should always be placed in a proper place. If you change its place the meaning changes.
For example, 1.234 is not the same as 12.34 or 123.4.
When decimal point moves from left to right the value of the number increases by 10.
Always line up the decimal points when adding decimals.
The digits after the decimal point has their own value.
The first digit after the decimal point is called the Tenth place value.
The second digit tells how many hundredths are there in the number.
The digit is the thousandths place.
The fourth digit is the ten thousandths place.
And so on...
Percents
Percent means "per hundred". It is a ratio that compares a number to 100.
It is the number of hundredths.
It is represented by the sign "%".
For example, 4% means Four Hundredths.
It also means that if you divide the thing into 100 equal portions, 4 portions of them are 4%.
Decimals | Equivalent | Fractions | Equivalent | Percents |
0.1 | = | 1/10 | = | 10% |
0.2 | = | 1/5 | = | 20% |
0.5 | = | 1/2 | = | 50% |
0.25 | = | 1/4 | = | 25% |
0.50 | = | 1/2 | = | 50% |
0.75 | = | 3/4 | = | 75% |
1.0 | = | 1 | = | 100% |