100/139 added to 12/4 in Fraction Form

The result of 100/139 added to 12/4 is: 3 100/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 100139 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 4 is 556.

Step 3: Convert Fractions to Equivalent Fractions

Convert 100139 to 400556
Convert 124 to 1668556

Step 4: Add the Numerators

Add the numerators: 400 + 1668 = 2068

Step 5: Simplify the Fraction

We can simplify 2068556 to its lowest form.
The greatest common divisor (GCD) of 2068 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get 517139.

Step 6: Convert to Mixed Number

The fraction 517139 can be written as the mixed number 3100139.

Final Answer

The result of 100/139 added to 12/4 is:

100139+124=3100139

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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