138/21 added to 127/4 in Fraction Form

The result of 138/21 added to 127/4 is: 38 9/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13821 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13821 to 55284
Convert 1274 to 266784

Step 4: Add the Numerators

Add the numerators: 552 + 2667 = 3219

Step 5: Simplify the Fraction

We can simplify 321984 to its lowest form.
The greatest common divisor (GCD) of 3219 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get 107328.

Step 6: Convert to Mixed Number

The fraction 107328 can be written as the mixed number 38928.

Final Answer

The result of 138/21 added to 127/4 is:

13821+1274=38928

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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