22/210 added to 14/4 in Fraction Form

The result of 22/210 added to 14/4 is: 3 127/210

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22210 and 144.

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 22210 to 44420
Convert 144 to 1470420

Step 4: Add the Numerators

Add the numerators: 44 + 1470 = 1514

Step 5: Simplify the Fraction

We can simplify 1514420 to its lowest form.
The greatest common divisor (GCD) of 1514 and 420 is 2.
Dividing both numerator and denominator by the GCD, we get 757210.

Step 6: Convert to Mixed Number

The fraction 757210 can be written as the mixed number 3127210.

Final Answer

The result of 22/210 added to 14/4 is:

22210+144=3127210

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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