17/102 added to 124/4 in Fraction Form

The result of 17/102 added to 124/4 is: 31 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17102 and 1244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17102 to 34204
Convert 1244 to 6324204

Step 4: Add the Numerators

Add the numerators: 34 + 6324 = 6358

Step 5: Simplify the Fraction

We can simplify 6358204 to its lowest form.
The greatest common divisor (GCD) of 6358 and 204 is 34.
Dividing both numerator and denominator by the GCD, we get 1876.

Step 6: Convert to Mixed Number

The fraction 1876 can be written as the mixed number 3116.

Final Answer

The result of 17/102 added to 124/4 is:

17102+1244=3116

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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