67/202 added to 15/6 in Fraction Form

The result of 67/202 added to 15/6 is: 2 84/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67202 and 156.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 6 is 606.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67202 to 201606
Convert 156 to 1515606

Step 4: Add the Numerators

Add the numerators: 201 + 1515 = 1716

Step 5: Simplify the Fraction

We can simplify 1716606 to its lowest form.
The greatest common divisor (GCD) of 1716 and 606 is 6.
Dividing both numerator and denominator by the GCD, we get 286101.

Step 6: Convert to Mixed Number

The fraction 286101 can be written as the mixed number 284101.

Final Answer

The result of 67/202 added to 15/6 is:

67202+156=284101

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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