127/115 added to 78/3 in Fraction Form

The result of 127/115 added to 78/3 is: 27 12/115

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127115 and 783.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 115 and 3 is 345.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127115 to 381345
Convert 783 to 8970345

Step 4: Add the Numerators

Add the numerators: 381 + 8970 = 9351

Step 5: Simplify the Fraction

We can simplify 9351345 to its lowest form.
The greatest common divisor (GCD) of 9351 and 345 is 3.
Dividing both numerator and denominator by the GCD, we get 3117115.

Step 6: Convert to Mixed Number

The fraction 3117115 can be written as the mixed number 2712115.

Final Answer

The result of 127/115 added to 78/3 is:

127115+783=2712115

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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