17/189 added to 82/4 in Fraction Form

The result of 17/189 added to 82/4 is: 20 223/378

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17189 and 824.

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 17189 to 68756
Convert 824 to 15498756

Step 4: Add the Numerators

Add the numerators: 68 + 15498 = 15566

Step 5: Simplify the Fraction

We can simplify 15566756 to its lowest form.
The greatest common divisor (GCD) of 15566 and 756 is 2.
Dividing both numerator and denominator by the GCD, we get 7783378.

Step 6: Convert to Mixed Number

The fraction 7783378 can be written as the mixed number 20223378.

Final Answer

The result of 17/189 added to 82/4 is:

17189+824=20223378

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: