200/21 added to 18/4 in Fraction Form

The result of 200/21 added to 18/4 is: 14 1/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20021 and 184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20021 to 80084
Convert 184 to 37884

Step 4: Add the Numerators

Add the numerators: 800 + 378 = 1178

Step 5: Simplify the Fraction

We can simplify 117884 to its lowest form.
The greatest common divisor (GCD) of 1178 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 58942.

Step 6: Convert to Mixed Number

The fraction 58942 can be written as the mixed number 14142.

Final Answer

The result of 200/21 added to 18/4 is:

20021+184=14142

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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