39/143 added to 26/3 in Fraction Form

The result of 39/143 added to 26/3 is: 8 31/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39143 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 143 and 3 is 429.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39143 to 117429
Convert 263 to 3718429

Step 4: Add the Numerators

Add the numerators: 117 + 3718 = 3835

Step 5: Simplify the Fraction

We can simplify 3835429 to its lowest form.
The greatest common divisor (GCD) of 3835 and 429 is 13.
Dividing both numerator and denominator by the GCD, we get 29533.

Step 6: Convert to Mixed Number

The fraction 29533 can be written as the mixed number 83133.

Final Answer

The result of 39/143 added to 26/3 is:

39143+263=83133

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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