173/26 added to 83/6 in Fraction Form

The result of 173/26 added to 83/6 is: 20 19/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17326 and 836.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 6 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17326 to 51978
Convert 836 to 107978

Step 4: Add the Numerators

Add the numerators: 519 + 1079 = 1598

Step 5: Simplify the Fraction

We can simplify 159878 to its lowest form.
The greatest common divisor (GCD) of 1598 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 79939.

Step 6: Convert to Mixed Number

The fraction 79939 can be written as the mixed number 201939.

Final Answer

The result of 173/26 added to 83/6 is:

17326+836=201939

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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