23/100 added to 47/4 in Fraction Form

The result of 23/100 added to 47/4 is: 11 49/50

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23100 and 474.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 4 is 100.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23100 to 23100
Convert 474 to 1175100

Step 4: Add the Numerators

Add the numerators: 23 + 1175 = 1198

Step 5: Simplify the Fraction

We can simplify 1198100 to its lowest form.
The greatest common divisor (GCD) of 1198 and 100 is 2.
Dividing both numerator and denominator by the GCD, we get 59950.

Step 6: Convert to Mixed Number

The fraction 59950 can be written as the mixed number 114950.

Final Answer

The result of 23/100 added to 47/4 is:

23100+474=114950

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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