29/101 added to 202/4 in Fraction Form

The result of 29/101 added to 202/4 is: 50 159/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 29101 and 2024.

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 29101 to 116404
Convert 2024 to 20402404

Step 4: Add the Numerators

Add the numerators: 116 + 20402 = 20518

Step 5: Simplify the Fraction

We can simplify 20518404 to its lowest form.
The greatest common divisor (GCD) of 20518 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 10259202.

Step 6: Convert to Mixed Number

The fraction 10259202 can be written as the mixed number 50159202.

Final Answer

The result of 29/101 added to 202/4 is:

29101+2024=50159202

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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