22/253 added to 4/3 in Fraction Form

The result of 22/253 added to 4/3 is: 1 29/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22253 and 43.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 253 and 3 is 759.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22253 to 66759
Convert 43 to 1012759

Step 4: Add the Numerators

Add the numerators: 66 + 1012 = 1078

Step 5: Simplify the Fraction

We can simplify 1078759 to its lowest form.
The greatest common divisor (GCD) of 1078 and 759 is 11.
Dividing both numerator and denominator by the GCD, we get 9869.

Step 6: Convert to Mixed Number

The fraction 9869 can be written as the mixed number 12969.

Final Answer

The result of 22/253 added to 4/3 is:

22253+43=12969

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).

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