171/39 added to 82/2 in Fraction Form

The result of 171/39 added to 82/2 is: 45 5/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17139 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 2 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17139 to 34278
Convert 822 to 319878

Step 4: Add the Numerators

Add the numerators: 342 + 3198 = 3540

Step 5: Simplify the Fraction

We can simplify 354078 to its lowest form.
The greatest common divisor (GCD) of 3540 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get 59013.

Step 6: Convert to Mixed Number

The fraction 59013 can be written as the mixed number 45513.

Final Answer

The result of 171/39 added to 82/2 is:

17139+822=45513

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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