10/207 added to 8/6 in Fraction Form

The result of 10/207 added to 8/6 is: 1 79/207

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10207 and 86.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 6 is 414.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10207 to 20414
Convert 86 to 552414

Step 4: Add the Numerators

Add the numerators: 20 + 552 = 572

Step 5: Simplify the Fraction

We can simplify 572414 to its lowest form.
The greatest common divisor (GCD) of 572 and 414 is 2.
Dividing both numerator and denominator by the GCD, we get 286207.

Step 6: Convert to Mixed Number

The fraction 286207 can be written as the mixed number 179207.

Final Answer

The result of 10/207 added to 8/6 is:

10207+86=179207

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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