127/76 added to 84/3 in Fraction Form

The result of 127/76 added to 84/3 is: 29 51/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12776 and 843.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 76 and 3 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12776 to 381228
Convert 843 to 6384228

Step 4: Add the Numerators

Add the numerators: 381 + 6384 = 6765

Step 5: Simplify the Fraction

We can simplify 6765228 to its lowest form.
The greatest common divisor (GCD) of 6765 and 228 is 3.
Dividing both numerator and denominator by the GCD, we get 225576.

Step 6: Convert to Mixed Number

The fraction 225576 can be written as the mixed number 295176.

Final Answer

The result of 127/76 added to 84/3 is:

12776+843=295176

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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