127/49 added to 123/3 in Fraction Form

The result of 127/49 added to 123/3 is: 43 29/49

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12749 and 1233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 3 is 147.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12749 to 381147
Convert 1233 to 6027147

Step 4: Add the Numerators

Add the numerators: 381 + 6027 = 6408

Step 5: Simplify the Fraction

We can simplify 6408147 to its lowest form.
The greatest common divisor (GCD) of 6408 and 147 is 3.
Dividing both numerator and denominator by the GCD, we get 213649.

Step 6: Convert to Mixed Number

The fraction 213649 can be written as the mixed number 432949.

Final Answer

The result of 127/49 added to 123/3 is:

12749+1233=432949

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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