71/99 added to 148/2 in Fraction Form

The result of 71/99 added to 148/2 is: 74 71/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7199 and 1482.

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 7199 to 142198
Convert 1482 to 14652198

Step 4: Add the Numerators

Add the numerators: 142 + 14652 = 14794

Step 5: Simplify the Fraction

We can simplify 14794198 to its lowest form.
The greatest common divisor (GCD) of 14794 and 198 is 2.
Dividing both numerator and denominator by the GCD, we get 739799.

Step 6: Convert to Mixed Number

The fraction 739799 can be written as the mixed number 747199.

Final Answer

The result of 71/99 added to 148/2 is:

7199+1482=747199

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).

Fraction Calculator

Calculate operations between any two fractions: