Table of contents  
What are Fractions?  
Reducing Fractions  
Adding or Subtracting Fractions  
Multiplying Fractions  
Dividing Fractions  
Decimal Points 
Fractions are pieces of a whole. They are expressed as the amount you have (the numerator) over the whole (the denominator).
2. A whole number can be expressed as itself over 1
3. 0 divided by any number is 0
There is one exception to this rule:
0/0 = undefined. The reason for this lies in the next rule.
Any number divided by 0 is undefined: Zero cannot act as a denominator. For more information on this check out our guide to advanced integers. But for now all that matters is that you know that 0 cannot act as a denominator.
For example, consider the fraction 12/18. The GCF of 12 and 18 is 6, so we divide both the numerator and denominator by 6 to get:
12/18 = (12 ÷ 6) / (18 ÷ 6) = 2/3
If your fraction is 3/12, then it can be written as 1/4. Why? Because both 3 and 12 are divisible by 3.
3/3 = 1 and 12/3 = 4.
So your final fraction is 1/4
To convert the second fraction to have a denominator of 12, we need to multiply both the numerator and denominator by 4:
2/3 x 4/4 = 8/12
Now that both fractions have the same denominator, we can add them:
3/12 + 8/12 = 11/12
We can simplify the answer to a mixed number or a fraction in lowest terms, depending on the requirements of the question.
When subtracting fractions, we follow the same process of finding a common denominator, but instead of adding the numerators, we subtract them.
For example: 2/5  1/10
The LCM of 5 and 10 is 10. To convert the first fraction to have a denominator of 10, we need to multiply both the numerator and denominator by 2:
2/5 x 2/2 = 4/10
To convert the second fraction to have a denominator of 10, we need to multiply both the numerator and denominator by 1:
1/10 x 10/10 = 1/10
Now that both fractions have the same denominator, we can subtract them:
4/10  1/10 = 3/10
We can simplify the answer to a fraction in lowest terms if required.
2 × 4 = 8
3 × 5 = 15
So, 2/3 × 4/5 = 8/15.
Notice that in this case, we simply multiplied 2 and 4 to get 8, and 3 and 5 to get 15. This is because there are no common factors between 2 and 3, or between 4 and 5. However, if there are common factors between the numerators and denominators, it is important to cancel them out before multiplying. This process is called simplifying the fractions before multiplying.
Here's an example: 3/4 ÷ 2/5
We want to divide 3/4 by 2/5.
First, we flip the second fraction, so that the question becomes:
3/4 × 5/2
Next, we multiply the numerators and denominators straight across:
(3 × 5) / (4 × 2) = 15/8
So, 3/4 ÷ 2/5 = 15/8.
Decimal points are a way to represent fractions or parts of a whole in the decimal system. The decimal point separates the whole number from the fractional part of a number, and is denoted by a period or dot (.).
For example, the fraction 3/4 can be expressed as a decimal by dividing 3 by 4:
3 ÷ 4 = 0.75
So, 3/4 is equivalent to 0.75 when expressed as a decimal.
So, 1.25 + 0.75 = 2.00, or simply 2 when the trailing zeros are removed.
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