Online Eponymous (Similar) Fractions calculator

How do you find similar fractions. How to make fractions eponymous

With this calculator you can easily make 2 fractions Eponymous (Similar).
This is how the calculator works:

1. Input 2 fractions by typing a number in the Entry fields.
2. Click on "Make Eponymous" (Similar).

The calculator not only gives the 2 Eponymous (Similar) fractions but also the Step by Step explanation of the solution.

Expanation

Eponymous (similar) and non-eponymous (dissimilar) fractions

Fractions are eponymous (similar) if they have the same denominator.
Fractions are non-eponymous (dissimilar) if they have different denominators.

• Two eponymous (similar) fractions: 2/5 en 3/5
• Two non-eponymous (dissimilar) fractions : 1/4 en 1/6

Make fractions eponymous (similar)

Sometimes it is useful to make fractions eponymous (e.g. if you want to add fractions). In this case always make sure that:

The denominators of the fractions become equal

The denominators of the fractions become equal

The value of the fractions does not change

You can do this by multiplying the numerator and denominator of both fractions by the same number.

Example 1: Making the fractions 1/4 and 1/6 eponymous (similar)

We convert the fractions to fractions with denominator 24

• 1/4 = 6/24 (numerator and denominator times 6)
• 1/6 = 4/24 (numerator and denominator times 4)

The fractions 6/24 and 4/24 are eponymous (similar).

We can also make the fractions 1/4 and 1/6 eponymous (similar) by multiplying by other numbers.

Example 2: Making the fractions 1/4 and 1/6 eponymous (similar) with other numbers

We now convert the fractions to fractions with denominator 12

• 1/4 = 3/12 (numerator and denominator times 3)
• 1/6 = 2/12 (numerator and denominator times 2)

3/12 and 2/12 are eponymous (similar) fractions.

The Product of the denominators

Look again at the denominators of the fractions in Example 1:

• Denominators of the unequal fractions: 4 and 6
• Described to fractions with denominator: 24

24 is exactly the product of 4 and 6
It is always possible to make fractions eponymous (similar) this way:

1. Calculate the product of the denominators of the unequal fractions.
2. Convert the fractions to fractions with this product in the denominator.

Least Common Multiple (LCM)

Now we make the fractions from example 2 eponymous (similar) in a different way. The following applies now:

• Denominators of the unequal fractions: 4 and 6
• Written to fractions with denominator: 12

12 is the smallest number that is a multiple of 4 and 6.
We call 12 the Least Common Multiple (LCM) of 4 and 6.

You can also make fractions eponymous (similar) like this::

1. Calculate the Least Common Multiple (LCM) from the of the denominators of the non-eponymous (dissimilar) fractions.
2. Convert the fractions to fractions with this number in the denominator.

The calculator makes the fractions eponymous (similar) based on the Least Common Multiple (LCM).