127/78 added to 46/4 in Fraction Form

The result of 127/78 added to 46/4 is: 13 5/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12778 and 464.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12778 to 254156
Convert 464 to 1794156

Step 4: Add the Numerators

Add the numerators: 254 + 1794 = 2048

Step 5: Simplify the Fraction

We can simplify 2048156 to its lowest form.
The greatest common divisor (GCD) of 2048 and 156 is 4.
Dividing both numerator and denominator by the GCD, we get 51239.

Step 6: Convert to Mixed Number

The fraction 51239 can be written as the mixed number 13539.

Final Answer

The result of 127/78 added to 46/4 is:

12778+464=13539

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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