22/253 added to 27/4 in Fraction Form

The result of 22/253 added to 27/4 is: 6 77/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22253 and 274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 253 and 4 is 1012.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22253 to 881012
Convert 274 to 68311012

Step 4: Add the Numerators

Add the numerators: 88 + 6831 = 6919

Step 5: Simplify the Fraction

We can simplify 69191012 to its lowest form.
The greatest common divisor (GCD) of 6919 and 1012 is 11.
Dividing both numerator and denominator by the GCD, we get 62992.

Step 6: Convert to Mixed Number

The fraction 62992 can be written as the mixed number 67792.

Final Answer

The result of 22/253 added to 27/4 is:

22253+274=67792

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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