5/13 added to 166/4 in Fraction Form

The result of 5/13 added to 166/4 is: 41 23/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 513 and 1664.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 513 to 2052
Convert 1664 to 215852

Step 4: Add the Numerators

Add the numerators: 20 + 2158 = 2178

Step 5: Simplify the Fraction

We can simplify 217852 to its lowest form.
The greatest common divisor (GCD) of 2178 and 52 is 2.
Dividing both numerator and denominator by the GCD, we get 108926.

Step 6: Convert to Mixed Number

The fraction 108926 can be written as the mixed number 412326.

Final Answer

The result of 5/13 added to 166/4 is:

513+1664=412326

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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