81/10 added to 202/4 in Fraction Form

The result of 81/10 added to 202/4 is: 58 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8110 and 2024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 4 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8110 to 16220
Convert 2024 to 101020

Step 4: Add the Numerators

Add the numerators: 162 + 1010 = 1172

Step 5: Simplify the Fraction

We can simplify 117220 to its lowest form.
The greatest common divisor (GCD) of 1172 and 20 is 4.
Dividing both numerator and denominator by the GCD, we get 2935.

Step 6: Convert to Mixed Number

The fraction 2935 can be written as the mixed number 5835.

Final Answer

The result of 81/10 added to 202/4 is:

8110+2024=5835

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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