15/194 added to 110/4 in Fraction Form

The result of 15/194 added to 110/4 is: 27 56/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15194 and 1104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 194 and 4 is 388.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15194 to 30388
Convert 1104 to 10670388

Step 4: Add the Numerators

Add the numerators: 30 + 10670 = 10700

Step 5: Simplify the Fraction

We can simplify 10700388 to its lowest form.
The greatest common divisor (GCD) of 10700 and 388 is 4.
Dividing both numerator and denominator by the GCD, we get 267597.

Step 6: Convert to Mixed Number

The fraction 267597 can be written as the mixed number 275697.

Final Answer

The result of 15/194 added to 110/4 is:

15194+1104=275697

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: