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This blog will teach you how to solve fractions in numerous ways. I’ve also included some handy fractions tips. So, without further ado, let us examine the concept of fractions.
What you must know about Fraction!!
First, define fraction.
The term fraction refers to a numerical quantity or value that is not a whole number.
The second item to learn is violation terminology. Each fraction has two pieces.
The numerator, put at the top of the division symbol, makes the fraction’s parts equal. In short, it represents the number of fractional parts. The denominator, printed below the division symbol, effectively equals the total number of parts in a whole, and so denotes the total number of parts in whole.
In a 3/5 fraction, the numerator is 3 and the denominator is 5.
3 denotes the 3rd part of the whole number, and 5 denotes the 5th part.
Second, learn about fractions.
We deal with three forms of fractions. Let’s go over them one by one.
- Proper fraction: The numerator is less valuable than the denominator.
The appropriate fraction is always smaller than 1.
3/5, 1/2, 5/7 are valid fractions.
- Incorrect fraction: the numerator always exceeds the denominator.
The incorrect fraction is always greater than 1.
Improper fractions include 6/3, 50/21, and 16/25.
- Mixed fraction: The number is expressed as a whole number, followed by fractions.
Also known as a mixed number.
The mixed portion is 645, 223 and 2558.
How to portray fractions?
A mixed fraction to a whole number.
Let’s see how to convert mixed fractions to whole numbers.
Transform 745 into a whole.
Multiply the fraction denominator by a whole number. 7 + 5 Equals 35.
Add the result to the fraction’s numerator. 35 + 4 Equals 39.
Put the original denominator in the numerator. 39/5
39/5 is the final whole fraction.
Equivalent fraction to decimal number.
To convert a fraction to a decimal, simply divide the number. Divide the numerator by the denominator.
Convert 7/10 to decimal.
Divide the numerator (7%) by the denominator (10%). So:
converting a fraction to a percentage
There are three ways to convert a fraction to a percentage. I’ve shown three techniques using 7/20 as an example.
Multiply the numerator by the denominator and add 100.
7/20 = 0.350.35 * 100 = 35%
Multiply by 100 and divide by denominator.
7 * 100 = 70% 70%/20 = 35%
Divide the numerator by the denominator and add two decimal points.
7/20 = 0.35 Now change the decimal points to make it 35%.
How to solve Fractions step by step
Let’s start by learning how to add two or more fractions.
Assume you must add 3/4 to 1/4.
Since the denominators are the same, this is the simplest fraction addition.
Finding the common denominators of the integers is the first step in adding fractions. In this case, the common denominator is 4, hence the common factor is 4.
So the equation is –
7 + 4
1 + 4/4
With varied denominators, you can simply solve fractions. Let’s learn via example –
If you add 3/4 to 2/5, you get the equation –
The next step in how to solve fractions is to locate a common denominator.
There is no common denominator, thus multiply both denominators and add. See below for clarification.
Let’s look at another example of finding common denominators.
Let’s say we need to add 34 and 58.
7/8 + 5/8
Now we will find the LCM between the two denominators.
So we get 8 as LCM and the equation is –
Since the denominator is 8 and the first fraction’s denominator is 4, we multiply the first fraction by 2 to get the denominator of 8.
Now let’s learn fraction subtraction.
Assume 3/2 – 1/2.
So, since the denominator is the same in both equations, we will use the same procedure.
You may now use 2 as a denominator and subtract 1 from 3. Take action –
We have the answer 1.
Another example of fraction solving
No common factor between the denominators, thus we multiply the first fraction by 4 and the second fraction by 7 to produce the following equation.
54/74 – 27/47
To answer the problem, we must first create common denominators. So, the solution is –
Now that 2 is in both the numerator and denominator, we can divide the whole fraction by 2 –
Let’s now multiply two fractions. It’s also vital to learn fractions.
Consider the following:
In fractions, you simply multiply the numerators and denominators together.
Then you will get –
Now let’s learn how to divide fractions.
To divide a fraction, use the reciprocal. To reciprocate, change the denominator to the numerator and vice versa.
Let us use an example:
Resolve 1/2 1/5.
First, take 1/5 as 5/1.
Multiply the reciprocal fraction by another number (s).
Multiply the denominators and numerators:
1 + 2 (denominator)
1 + 5 = (numerator)
1/2 * 5/1 = 5/2 = 2.5
Things to know to avoid common fraction errors!
Calculating fractions with different denominators may be difficult. That is why some pupils fail to answer fractions with varying denominators.
Let us first solve a fraction with different denominators.
3/4 + 1/6 First, multiply the numerator and denominator by the opposing denominator number. Multiply 4 by 6 and 6 by 4. 24 in the denominator. 3*6 = 18 and 1*4 = 4 for numerator. 18 + 4 Equals 22. 3/4 + 1/6 = 22/24 = 11/12
Now you know what pupils do wrong.
Misunderstand the questions’ requirements, such as dividing instead of multiplying.
When adding or subtracting fractions, kids neglect to adjust the denominator. [Example 4 and 6 become 24].
Notably, the numerator must change along with the denominator. [3 + 6 = 18; 1 + 4 = 4].
Finally, some pupils struggle to simplify. [Like 22/24, which is 11/12 after dividing by 2].
Many children struggle with fractions, which are simple when practiced consistently.
If you are looking for how to solve fractions, we hope this article has helped you comprehend the procedure. If you still have trouble solving fractions, you can contact us at any moment. We are always available. Our experts are available 24/7. Expert math homework help is available.
Questions & Answers
What is the fraction formula?
Fraction = Selected Parts/Total Parts
The numerator of each fraction is the chosen number of parts, and the denominator is the total number of parts.
The fractions of A and B
A and B are A/B in the fraction. Where A is the numerator and B is the denominator.