38/17 added to 100/2 in Fraction Form

The result of 38/17 added to 100/2 is: 52 4/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3817 and 1002.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 2 is 34.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3817 to 7634
Convert 1002 to 170034

Step 4: Add the Numerators

Add the numerators: 76 + 1700 = 1776

Step 5: Simplify the Fraction

We can simplify 177634 to its lowest form.
The greatest common divisor (GCD) of 1776 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 88817.

Step 6: Convert to Mixed Number

The fraction 88817 can be written as the mixed number 52417.

Final Answer

The result of 38/17 added to 100/2 is:

3817+1002=52417

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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