4/146 added to 148/2 in Fraction Form

The result of 4/146 added to 148/2 is: 74 2/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4146 and 1482.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4146 to 4146
Convert 1482 to 10804146

Step 4: Add the Numerators

Add the numerators: 4 + 10804 = 10808

Step 5: Simplify the Fraction

We can simplify 10808146 to its lowest form.
The greatest common divisor (GCD) of 10808 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 540473.

Step 6: Convert to Mixed Number

The fraction 540473 can be written as the mixed number 74273.

Final Answer

The result of 4/146 added to 148/2 is:

4146+1482=74273

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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