201/110 added to 10/4 in Fraction Form

The result of 201/110 added to 10/4 is: 4 18/55

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 201110 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 110 and 4 is 220.

Step 3: Convert Fractions to Equivalent Fractions

Convert 201110 to 402220
Convert 104 to 550220

Step 4: Add the Numerators

Add the numerators: 402 + 550 = 952

Step 5: Simplify the Fraction

We can simplify 952220 to its lowest form.
The greatest common divisor (GCD) of 952 and 220 is 4.
Dividing both numerator and denominator by the GCD, we get 23855.

Step 6: Convert to Mixed Number

The fraction 23855 can be written as the mixed number 41855.

Final Answer

The result of 201/110 added to 10/4 is:

201110+104=41855

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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