127/56 added to 141/3 in Fraction Form

The result of 127/56 added to 141/3 is: 49 15/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12756 and 1413.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 56 and 3 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12756 to 381168
Convert 1413 to 7896168

Step 4: Add the Numerators

Add the numerators: 381 + 7896 = 8277

Step 5: Simplify the Fraction

We can simplify 8277168 to its lowest form.
The greatest common divisor (GCD) of 8277 and 168 is 3.
Dividing both numerator and denominator by the GCD, we get 275956.

Step 6: Convert to Mixed Number

The fraction 275956 can be written as the mixed number 491556.

Final Answer

The result of 127/56 added to 141/3 is:

12756+1413=491556

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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