117/104 added to 99/3 in Fraction Form

The result of 117/104 added to 99/3 is: 34 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 117104 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 104 and 3 is 312.

Step 3: Convert Fractions to Equivalent Fractions

Convert 117104 to 351312
Convert 993 to 10296312

Step 4: Add the Numerators

Add the numerators: 351 + 10296 = 10647

Step 5: Simplify the Fraction

We can simplify 10647312 to its lowest form.
The greatest common divisor (GCD) of 10647 and 312 is 39.
Dividing both numerator and denominator by the GCD, we get 2738.

Step 6: Convert to Mixed Number

The fraction 2738 can be written as the mixed number 3418.

Final Answer

The result of 117/104 added to 99/3 is:

117104+993=3418

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: