What is 1/4 plus 1/4 in fraction

When adding or subtracting fractions, we must always start by putting the fractions over the same denominator, that is the number on the bottom half of the fraction. To do this, we need to find a number which we can divide by both the current denominators 3 and 4, i.e. we need to find the lowest common denominator of 3 and 4. In this case, the lowest common denominator is 12. So we need to change both fractions so that their denominator is 12. We will start by changing 2/3 to ?/12. To do this , we need to multiply the first denominator (3) by 4 to get 12, and so we also need to multiply the numerator by 4. So, we get 2x4=8 and the fraction becomes 8/12. We must always multiply the numerator by the same number as we multiply the denominator by. For the second fraction, 1/4, we need to multiply the first denominator (4) by 3 to get the second denominator (12), so we also need to multiply the numerator by 3, giving 1x3=3 and the fraction becomes 3/12. Now we have 8/12 + 3/12 = ? To add fractions which are already in the same denominator, as these fractions are, all we need to do is add the numerators together (8+3=11) and put it over the denominator which both fractions are already in (12) and so our final answer is 11/12. 

step 2 Compare the denominators of fractions 1/4 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/5 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 1/4 and 1/5:
The LCM of 4 and 5 is 20.

step 4 Write the fractions 1/4 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+1/5
=(1 x 20)/(4 x 20)+(1 x 20)/(5 x 20)

step 5 Simplify the expression to have common denominator:
=5/20+4/20

step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (5/1+4/1)
=1/20 x (5 + 4)

step 7Simplify the above expression further:
=1/20 x 9
=9/20
1/4+1/5=9/20

Hence,
1/4 plus 1/5 equals to 9/20 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/5

What to be found?
1/4+1/5 = ?
Find what's the sum of 1/4 and 1/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (1 x 5) + (1 x 4)/(4 x 5)

step 3 Simplify and rewrite the fraction:
= (5 + 4)/20
1/4+1/5 = 9/20
Hence,
1/4 plus 1/5 = 9/20

It can sometimes be difficult to add fractions, such as 1/4 plus 1/4. But it's no problem! We have displayed the answer below:

1/4 + 1/4 = 1/2

How did we solve the problem above? When we add two fractions, such as 1/4 + 1/4, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them intact.

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.

Mixed Numbers Calculator

Simplify Fractions Calculator

Decimal to Fraction Calculator

Fraction to Decimal Calculator

Big Number Fraction Calculator

Use this calculator if the numerators or denominators are very big integers.

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction of

Addition:

Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

This process can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers.

The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.

Subtraction:

Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification.

Multiplication:

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification.

Division:

The process for dividing fractions is similar to that for multiplying fractions. In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is simply

Simplification:

It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.

Converting between fractions and decimals:

Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 101, the second 102, the third 103, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 104, or 10,000. This would make the fraction

Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction

Common Engineering Fraction to Decimal Conversions

In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below.

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