11/199 added to 70/4 in Fraction Form

The result of 11/199 added to 70/4 is: 17 221/398

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11199 and 704.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 199 and 4 is 796.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11199 to 44796
Convert 704 to 13930796

Step 4: Add the Numerators

Add the numerators: 44 + 13930 = 13974

Step 5: Simplify the Fraction

We can simplify 13974796 to its lowest form.
The greatest common divisor (GCD) of 13974 and 796 is 2.
Dividing both numerator and denominator by the GCD, we get 6987398.

Step 6: Convert to Mixed Number

The fraction 6987398 can be written as the mixed number 17221398.

Final Answer

The result of 11/199 added to 70/4 is:

11199+704=17221398

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: