11/237 added to 7/3 in Fraction Form

The result of 11/237 added to 7/3 is: 2 30/79

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11237 and 73.

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 11237 to 11237
Convert 73 to 553237

Step 4: Add the Numerators

Add the numerators: 11 + 553 = 564

Step 5: Simplify the Fraction

We can simplify 564237 to its lowest form.
The greatest common divisor (GCD) of 564 and 237 is 3.
Dividing both numerator and denominator by the GCD, we get 18879.

Step 6: Convert to Mixed Number

The fraction 18879 can be written as the mixed number 23079.

Final Answer

The result of 11/237 added to 7/3 is:

11237+73=23079

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).

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