100/21 added to 16/4 in Fraction Form

The result of 100/21 added to 16/4 is: 8 16/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10021 and 164.

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 10021 to 40084
Convert 164 to 33684

Step 4: Add the Numerators

Add the numerators: 400 + 336 = 736

Step 5: Simplify the Fraction

We can simplify 73684 to its lowest form.
The greatest common divisor (GCD) of 736 and 84 is 4.
Dividing both numerator and denominator by the GCD, we get 18421.

Step 6: Convert to Mixed Number

The fraction 18421 can be written as the mixed number 81621.

Final Answer

The result of 100/21 added to 16/4 is:

10021+164=81621

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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