100/210 added to 8/4 in Fraction Form

The result of 100/210 added to 8/4 is: 2 10/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 100210 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 100210 to 200420
Convert 84 to 840420

Step 4: Add the Numerators

Add the numerators: 200 + 840 = 1040

Step 5: Simplify the Fraction

We can simplify 1040420 to its lowest form.
The greatest common divisor (GCD) of 1040 and 420 is 20.
Dividing both numerator and denominator by the GCD, we get 5221.

Step 6: Convert to Mixed Number

The fraction 5221 can be written as the mixed number 21021.

Final Answer

The result of 100/210 added to 8/4 is:

100210+84=21021

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

Calculate operations between any two fractions: