55/101 added to 92/4 in Fraction Form

The result of 55/101 added to 92/4 is: 23 55/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 55101 and 924.

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 55101 to 220404
Convert 924 to 9292404

Step 4: Add the Numerators

Add the numerators: 220 + 9292 = 9512

Step 5: Simplify the Fraction

We can simplify 9512404 to its lowest form.
The greatest common divisor (GCD) of 9512 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 2378101.

Step 6: Convert to Mixed Number

The fraction 2378101 can be written as the mixed number 2355101.

Final Answer

The result of 55/101 added to 92/4 is:

55101+924=2355101

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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