33/42 added to 222/4 in Fraction Form

The result of 33/42 added to 222/4 is: 56 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3342 and 2224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3342 to 6684
Convert 2224 to 466284

Step 4: Add the Numerators

Add the numerators: 66 + 4662 = 4728

Step 5: Simplify the Fraction

We can simplify 472884 to its lowest form.
The greatest common divisor (GCD) of 4728 and 84 is 12.
Dividing both numerator and denominator by the GCD, we get 3947.

Step 6: Convert to Mixed Number

The fraction 3947 can be written as the mixed number 5627.

Final Answer

The result of 33/42 added to 222/4 is:

3342+2224=5627

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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