13/237 added to 11/3 in Fraction Form

The result of 13/237 added to 11/3 is: 3 57/79

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13237 and 113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 3 is 237.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13237 to 13237
Convert 113 to 869237

Step 4: Add the Numerators

Add the numerators: 13 + 869 = 882

Step 5: Simplify the Fraction

We can simplify 882237 to its lowest form.
The greatest common divisor (GCD) of 882 and 237 is 3.
Dividing both numerator and denominator by the GCD, we get 29479.

Step 6: Convert to Mixed Number

The fraction 29479 can be written as the mixed number 35779.

Final Answer

The result of 13/237 added to 11/3 is:

13237+113=35779

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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