39/102 added to 141/6 in Fraction Form

The result of 39/102 added to 141/6 is: 23 15/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39102 and 1416.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 6 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39102 to 39102
Convert 1416 to 2397102

Step 4: Add the Numerators

Add the numerators: 39 + 2397 = 2436

Step 5: Simplify the Fraction

We can simplify 2436102 to its lowest form.
The greatest common divisor (GCD) of 2436 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 40617.

Step 6: Convert to Mixed Number

The fraction 40617 can be written as the mixed number 231517.

Final Answer

The result of 39/102 added to 141/6 is:

39102+1416=231517

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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