10/189 added to 109/4 in Fraction Form

The result of 10/189 added to 109/4 is: 27 229/756

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10189 and 1094.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 189 and 4 is 756.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10189 to 40756
Convert 1094 to 20601756

Step 4: Add the Numerators

Add the numerators: 40 + 20601 = 20641

Step 5: Convert to Mixed Number

The fraction 20641756 can be written as the mixed number 27229756.

Final Answer

The result of 10/189 added to 109/4 is:

10189+1094=27229756

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

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