6/236 added to 13/3 in Fraction Form

The result of 6/236 added to 13/3 is: 4 127/354

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6236 and 133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 236 and 3 is 708.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6236 to 18708
Convert 133 to 3068708

Step 4: Add the Numerators

Add the numerators: 18 + 3068 = 3086

Step 5: Simplify the Fraction

We can simplify 3086708 to its lowest form.
The greatest common divisor (GCD) of 3086 and 708 is 2.
Dividing both numerator and denominator by the GCD, we get 1543354.

Step 6: Convert to Mixed Number

The fraction 1543354 can be written as the mixed number 4127354.

Final Answer

The result of 6/236 added to 13/3 is:

6236+133=4127354

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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