127/20 added to 179/4 in Fraction Form

The result of 127/20 added to 179/4 is: 51 1/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12720 and 1794.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 4 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12720 to 12720
Convert 1794 to 89520

Step 4: Add the Numerators

Add the numerators: 127 + 895 = 1022

Step 5: Simplify the Fraction

We can simplify 102220 to its lowest form.
The greatest common divisor (GCD) of 1022 and 20 is 2.
Dividing both numerator and denominator by the GCD, we get 51110.

Step 6: Convert to Mixed Number

The fraction 51110 can be written as the mixed number 51110.

Final Answer

The result of 127/20 added to 179/4 is:

12720+1794=51110

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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