22/101 added to 172/4 in Fraction Form

The result of 22/101 added to 172/4 is: 43 22/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22101 and 1724.

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 22101 to 88404
Convert 1724 to 17372404

Step 4: Add the Numerators

Add the numerators: 88 + 17372 = 17460

Step 5: Simplify the Fraction

We can simplify 17460404 to its lowest form.
The greatest common divisor (GCD) of 17460 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 4365101.

Step 6: Convert to Mixed Number

The fraction 4365101 can be written as the mixed number 4322101.

Final Answer

The result of 22/101 added to 172/4 is:

22101+1724=4322101

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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