127/23 added to 172/2 in Fraction Form

The result of 127/23 added to 172/2 is: 91 12/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12723 and 1722.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 2 is 46.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12723 to 25446
Convert 1722 to 395646

Step 4: Add the Numerators

Add the numerators: 254 + 3956 = 4210

Step 5: Simplify the Fraction

We can simplify 421046 to its lowest form.
The greatest common divisor (GCD) of 4210 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get 210523.

Step 6: Convert to Mixed Number

The fraction 210523 can be written as the mixed number 911223.

Final Answer

The result of 127/23 added to 172/2 is:

12723+1722=911223

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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