127/84 added to 77/3 in Fraction Form

The result of 127/84 added to 77/3 is: 27 5/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12784 and 773.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 84 and 3 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12784 to 12784
Convert 773 to 215684

Step 4: Add the Numerators

Add the numerators: 127 + 2156 = 2283

Step 5: Simplify the Fraction

We can simplify 228384 to its lowest form.
The greatest common divisor (GCD) of 2283 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get 76128.

Step 6: Convert to Mixed Number

The fraction 76128 can be written as the mixed number 27528.

Final Answer

The result of 127/84 added to 77/3 is:

12784+773=27528

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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