22/121 added to 127/3 in Fraction Form

The result of 22/121 added to 127/3 is: 42 17/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22121 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 121 and 3 is 363.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22121 to 66363
Convert 1273 to 15367363

Step 4: Add the Numerators

Add the numerators: 66 + 15367 = 15433

Step 5: Simplify the Fraction

We can simplify 15433363 to its lowest form.
The greatest common divisor (GCD) of 15433 and 363 is 11.
Dividing both numerator and denominator by the GCD, we get 140333.

Step 6: Convert to Mixed Number

The fraction 140333 can be written as the mixed number 421733.

Final Answer

The result of 22/121 added to 127/3 is:

22121+1273=421733

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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