17/39 added to 235/3 in Fraction Form

The result of 17/39 added to 235/3 is: 78 10/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1739 and 2353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1739 to 1739
Convert 2353 to 305539

Step 4: Add the Numerators

Add the numerators: 17 + 3055 = 3072

Step 5: Simplify the Fraction

We can simplify 307239 to its lowest form.
The greatest common divisor (GCD) of 3072 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 102413.

Step 6: Convert to Mixed Number

The fraction 102413 can be written as the mixed number 781013.

Final Answer

The result of 17/39 added to 235/3 is:

1739+2353=781013

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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