21/254 added to 11/2 in Fraction Form

The result of 21/254 added to 11/2 is: 5 74/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21254 and 112.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 254 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21254 to 21254
Convert 112 to 1397254

Step 4: Add the Numerators

Add the numerators: 21 + 1397 = 1418

Step 5: Simplify the Fraction

We can simplify 1418254 to its lowest form.
The greatest common divisor (GCD) of 1418 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 709127.

Step 6: Convert to Mixed Number

The fraction 709127 can be written as the mixed number 574127.

Final Answer

The result of 21/254 added to 11/2 is:

21254+112=574127

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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