21/85 added to 8/4 in Fraction Form

The result of 21/85 added to 8/4 is: 2 21/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2185 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2185 to 84340
Convert 84 to 680340

Step 4: Add the Numerators

Add the numerators: 84 + 680 = 764

Step 5: Simplify the Fraction

We can simplify 764340 to its lowest form.
The greatest common divisor (GCD) of 764 and 340 is 4.
Dividing both numerator and denominator by the GCD, we get 19185.

Step 6: Convert to Mixed Number

The fraction 19185 can be written as the mixed number 22185.

Final Answer

The result of 21/85 added to 8/4 is:

2185+84=22185

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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