61/99 added to 146/2 in Fraction Form

The result of 61/99 added to 146/2 is: 73 61/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6199 and 1462.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6199 to 122198
Convert 1462 to 14454198

Step 4: Add the Numerators

Add the numerators: 122 + 14454 = 14576

Step 5: Simplify the Fraction

We can simplify 14576198 to its lowest form.
The greatest common divisor (GCD) of 14576 and 198 is 2.
Dividing both numerator and denominator by the GCD, we get 728899.

Step 6: Convert to Mixed Number

The fraction 728899 can be written as the mixed number 736199.

Final Answer

The result of 61/99 added to 146/2 is:

6199+1462=736199

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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