13/101 added to 192/4 in Fraction Form

The result of 13/101 added to 192/4 is: 48 13/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13101 and 1924.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13101 to 52404
Convert 1924 to 19392404

Step 4: Add the Numerators

Add the numerators: 52 + 19392 = 19444

Step 5: Simplify the Fraction

We can simplify 19444404 to its lowest form.
The greatest common divisor (GCD) of 19444 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 4861101.

Step 6: Convert to Mixed Number

The fraction 4861101 can be written as the mixed number 4813101.

Final Answer

The result of 13/101 added to 192/4 is:

13101+1924=4813101

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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