127/130 added to 28/4 in Fraction Form

The result of 127/130 added to 28/4 is: 7 127/130

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127130 and 284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 130 and 4 is 260.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127130 to 254260
Convert 284 to 1820260

Step 4: Add the Numerators

Add the numerators: 254 + 1820 = 2074

Step 5: Simplify the Fraction

We can simplify 2074260 to its lowest form.
The greatest common divisor (GCD) of 2074 and 260 is 2.
Dividing both numerator and denominator by the GCD, we get 1037130.

Step 6: Convert to Mixed Number

The fraction 1037130 can be written as the mixed number 7127130.

Final Answer

The result of 127/130 added to 28/4 is:

127130+284=7127130

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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