127/137 added to 10/4 in Fraction Form

The result of 127/137 added to 10/4 is: 3 117/274

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127137 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 137 and 4 is 548.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127137 to 508548
Convert 104 to 1370548

Step 4: Add the Numerators

Add the numerators: 508 + 1370 = 1878

Step 5: Simplify the Fraction

We can simplify 1878548 to its lowest form.
The greatest common divisor (GCD) of 1878 and 548 is 2.
Dividing both numerator and denominator by the GCD, we get 939274.

Step 6: Convert to Mixed Number

The fraction 939274 can be written as the mixed number 3117274.

Final Answer

The result of 127/137 added to 10/4 is:

127137+104=3117274

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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