15/202 added to 37/2 in Fraction Form

The result of 15/202 added to 37/2 is: 18 58/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15202 and 372.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15202 to 15202
Convert 372 to 3737202

Step 4: Add the Numerators

Add the numerators: 15 + 3737 = 3752

Step 5: Simplify the Fraction

We can simplify 3752202 to its lowest form.
The greatest common divisor (GCD) of 3752 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 1876101.

Step 6: Convert to Mixed Number

The fraction 1876101 can be written as the mixed number 1858101.

Final Answer

The result of 15/202 added to 37/2 is:

15202+372=1858101

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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