14/222 added to 53/3 in Fraction Form

The result of 14/222 added to 53/3 is: 17 27/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14222 and 533.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14222 to 14222
Convert 533 to 3922222

Step 4: Add the Numerators

Add the numerators: 14 + 3922 = 3936

Step 5: Simplify the Fraction

We can simplify 3936222 to its lowest form.
The greatest common divisor (GCD) of 3936 and 222 is 6.
Dividing both numerator and denominator by the GCD, we get 65637.

Step 6: Convert to Mixed Number

The fraction 65637 can be written as the mixed number 172737.

Final Answer

The result of 14/222 added to 53/3 is:

14222+533=172737

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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