22/210 added to 59/3 in Fraction Form

The result of 22/210 added to 59/3 is: 19 27/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22210 and 593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 3 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22210 to 22210
Convert 593 to 4130210

Step 4: Add the Numerators

Add the numerators: 22 + 4130 = 4152

Step 5: Simplify the Fraction

We can simplify 4152210 to its lowest form.
The greatest common divisor (GCD) of 4152 and 210 is 6.
Dividing both numerator and denominator by the GCD, we get 69235.

Step 6: Convert to Mixed Number

The fraction 69235 can be written as the mixed number 192735.

Final Answer

The result of 22/210 added to 59/3 is:

22210+593=192735

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

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