37/212 added to 3/3 in Fraction Form

The result of 37/212 added to 3/3 is: 1 37/212

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 37212 and 33.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 3 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 37212 to 111636
Convert 33 to 636636

Step 4: Add the Numerators

Add the numerators: 111 + 636 = 747

Step 5: Simplify the Fraction

We can simplify 747636 to its lowest form.
The greatest common divisor (GCD) of 747 and 636 is 3.
Dividing both numerator and denominator by the GCD, we get 249212.

Step 6: Convert to Mixed Number

The fraction 249212 can be written as the mixed number 137212.

Final Answer

The result of 37/212 added to 3/3 is:

37212+33=137212

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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