202/84 added to 5/3 in Fraction Form

The result of 202/84 added to 5/3 is: 4 1/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20284 and 53.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 84 and 3 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20284 to 20284
Convert 53 to 14084

Step 4: Add the Numerators

Add the numerators: 202 + 140 = 342

Step 5: Simplify the Fraction

We can simplify 34284 to its lowest form.
The greatest common divisor (GCD) of 342 and 84 is 6.
Dividing both numerator and denominator by the GCD, we get 5714.

Step 6: Convert to Mixed Number

The fraction 5714 can be written as the mixed number 4114.

Final Answer

The result of 202/84 added to 5/3 is:

20284+53=4114

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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