136/127 added to 21/3 in Fraction Form

The result of 136/127 added to 21/3 is: 8 9/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 136127 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 136127 to 408381
Convert 213 to 2667381

Step 4: Add the Numerators

Add the numerators: 408 + 2667 = 3075

Step 5: Simplify the Fraction

We can simplify 3075381 to its lowest form.
The greatest common divisor (GCD) of 3075 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 1025127.

Step 6: Convert to Mixed Number

The fraction 1025127 can be written as the mixed number 89127.

Final Answer

The result of 136/127 added to 21/3 is:

136127+213=89127

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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