22/103 added to 148/2 in Fraction Form

The result of 22/103 added to 148/2 is: 74 22/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22103 and 1482.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 2 is 206.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22103 to 44206
Convert 1482 to 15244206

Step 4: Add the Numerators

Add the numerators: 44 + 15244 = 15288

Step 5: Simplify the Fraction

We can simplify 15288206 to its lowest form.
The greatest common divisor (GCD) of 15288 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 7644103.

Step 6: Convert to Mixed Number

The fraction 7644103 can be written as the mixed number 7422103.

Final Answer

The result of 22/103 added to 148/2 is:

22103+1482=7422103

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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