13/86 added to 101/2 in Fraction Form

The result of 13/86 added to 101/2 is: 50 28/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1386 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 86 and 2 is 86.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1386 to 1386
Convert 1012 to 434386

Step 4: Add the Numerators

Add the numerators: 13 + 4343 = 4356

Step 5: Simplify the Fraction

We can simplify 435686 to its lowest form.
The greatest common divisor (GCD) of 4356 and 86 is 2.
Dividing both numerator and denominator by the GCD, we get 217843.

Step 6: Convert to Mixed Number

The fraction 217843 can be written as the mixed number 502843.

Final Answer

The result of 13/86 added to 101/2 is:

1386+1012=502843

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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