Embark on a journey of understanding ‘How To Do Fractions’ with this concise guide. Whether you’re a student tackling basic arithmetic or an adult refreshing your math skills, this resource offers clear explanations and practical examples to demystify fractions. From fundamental concepts to advanced operations, learn step-by-step techniques to master fractions with confidence. Discover essential tips, tricks, and common pitfalls to enhance your mathematical prowess. Dive into this comprehensive yet accessible guide and unlock the power of fractions today!
How To Do Fractions? – A Brief Guide
Definition:
In mathematics:
“Fractions represent part of a whole”
Parts of Fraction:
A fraction consists of three basic values, known as:
- Numerator: The number above the line.
- Denominator: It is the number below the line.
- Vinculum: Represents the line that separates the numerator and the denominator.
How to Solve Fractions?
There are four basic arithmetic operations that you need to apply to fractions if your goal comes up with their reduction. All these operations are also applied by the fraction calculator, an advanced tool to solve any complicated set of fractions to the lowest possible form.
Let’s get to the manual guide!
Addition of Fractions:
- Write the set of fractions
- Determine the least common multiple of the denominators of all the fractions
- After that, take in the denominator of the first fraction, divide LCM by it, and then multiply the answer with the numerator of the same fraction
- Do the same for all other fractions
- Write the numerators with an addition sign in between
- Add up them and write new numbers over the LCM
- Check if the fraction can be reduced to the lowest form
In case of any problem, enter the values in the adding fractions calculator and tap to get a complete solution in less than a second.
Example:
1/3 + 2/3
Solution:
1/3 + 2/3
= (1+2)/3
= 3/3
= 1
Subtraction of Fractions:
- Repeat steps 1 to 4 as mentioned for fraction addition
- After that, write all numbers with a minus sign put in between
- Subtract the numbers and write the new number over the LCM
- Reduce the fraction if possible. Otherwise, you have the answer
Example:
5/6 – 1/6
Solution:
5/6 – 1/6
= (5-1)/6
= 4/6
= 2/3
Multiplication of Fractions:
Multiplying fractions is very easy. And if you use a multiplying fraction calculator, the task becomes more rapid and accurate.
- Write the original fractions
- Multiply all the numerators to get a resultant number
- Do the same for all denominators
- Now you have a fraction
- If possible, try to reduce the fraction to the lowest possible notation
Example:
3/4 * 2/5
Solution:
3/4 * 2/5
= (32)/(45)
= 6/20
Simplifying the fraction:
= 6/20
= 3/10
For instant verification, you can put the fractions in the fraction calculator and tap ‘Calculate’ to get the results on the screen.
Division of Fractions:
- Write the first fraction as it is
- Now change the next division sign to a multiplication sign and flip the numerator and the denominator of the next fraction
- Keep doing the same until the last fraction in the set
- Now you get the multiplication form of a fraction
- Repeat steps 1 to 5 as mentioned for the product of fractions
- That’s it, you get the answer
Example:
2/3 ÷ 4/5
Solution:
2/3 ÷ 4/5
= 2/3 * 5/4
Reversing the second fraction and multiplying:
2/3 * 5/4
= (25)/(34)
= 10/12
Simplifying the fraction:
= 10/12
= ⅚
Some Related Queries:
What Is the Formula of Fraction?
The standard formula for fractions is:
a/b
Where;
- a = Numerator
- b = Denominator
Fraction Table:
64th | 32nd | 16th | 8th | 4th | 2nd | Decimal | Decimal
(inch to mm) |
1/64 | 0.015625 | 0.396875 | |||||
2/64 | 1/32 | 0.03125 | 0.79375 | ||||
3/64 | 0.046875 | 1.190625 | |||||
4/64 | 2/32 | 1/16 | 0.0625 | 1.5875 | |||
5/64 | 0.078125 | 1.984375 | |||||
6/64 | 3/32 | 0.09375 | 2.38125 | ||||
7/64 | 0.109375 | 2.778125 | |||||
8/64 | 4/32 | 2/16 | 1/8 | 0.125 | 3.175 | ||
9/64 | 0.140625 | 3.571875 | |||||
10/64 | 5/32 | 0.15625 | 3.96875 | ||||
11/64 | 0.171875 | 4.365625 | |||||
12/64 | 6/32 | 3/16 | 0.1875 | 4.7625 | |||
13/64 | 0.203125 | 5.159375 |
You can calculate all these values with the fraction calculator as well which saves you a lot of time while solving fractions of any kind. 0 0 0.
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