15/86 added to 13/2 in Fraction Form

The result of 15/86 added to 13/2 is: 6 29/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1586 and 132.

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 1586 to 1586
Convert 132 to 55986

Step 4: Add the Numerators

Add the numerators: 15 + 559 = 574

Step 5: Simplify the Fraction

We can simplify 57486 to its lowest form.
The greatest common divisor (GCD) of 574 and 86 is 2.
Dividing both numerator and denominator by the GCD, we get 28743.

Step 6: Convert to Mixed Number

The fraction 28743 can be written as the mixed number 62943.

Final Answer

The result of 15/86 added to 13/2 is:

1586+132=62943

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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