11/37 added to 8/2 in Fraction Form

The result of 11/37 added to 8/2 is: 4 11/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1137 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 37 and 2 is 74.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1137 to 2274
Convert 82 to 29674

Step 4: Add the Numerators

Add the numerators: 22 + 296 = 318

Step 5: Simplify the Fraction

We can simplify 31874 to its lowest form.
The greatest common divisor (GCD) of 318 and 74 is 2.
Dividing both numerator and denominator by the GCD, we get 15937.

Step 6: Convert to Mixed Number

The fraction 15937 can be written as the mixed number 41137.

Final Answer

The result of 11/37 added to 8/2 is:

1137+82=41137

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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