208/81 added to 10/4 in Fraction Form

The result of 208/81 added to 10/4 is: 5 11/162

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20881 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20881 to 832324
Convert 104 to 810324

Step 4: Add the Numerators

Add the numerators: 832 + 810 = 1642

Step 5: Simplify the Fraction

We can simplify 1642324 to its lowest form.
The greatest common divisor (GCD) of 1642 and 324 is 2.
Dividing both numerator and denominator by the GCD, we get 821162.

Step 6: Convert to Mixed Number

The fraction 821162 can be written as the mixed number 511162.

Final Answer

The result of 208/81 added to 10/4 is:

20881+104=511162

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).

Fraction Calculator

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