10/139 added to 102/4 in Fraction Form

The result of 10/139 added to 102/4 is: 25 159/278

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10139 and 1024.

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 10139 to 40556
Convert 1024 to 14178556

Step 4: Add the Numerators

Add the numerators: 40 + 14178 = 14218

Step 5: Simplify the Fraction

We can simplify 14218556 to its lowest form.
The greatest common divisor (GCD) of 14218 and 556 is 2.
Dividing both numerator and denominator by the GCD, we get 7109278.

Step 6: Convert to Mixed Number

The fraction 7109278 can be written as the mixed number 25159278.

Final Answer

The result of 10/139 added to 102/4 is:

10139+1024=25159278

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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