30/9 added to 222/4 in Fraction Form

The result of 30/9 added to 222/4 is: 58 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 309 and 2224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 309 to 12036
Convert 2224 to 199836

Step 4: Add the Numerators

Add the numerators: 120 + 1998 = 2118

Step 5: Simplify the Fraction

We can simplify 211836 to its lowest form.
The greatest common divisor (GCD) of 2118 and 36 is 6.
Dividing both numerator and denominator by the GCD, we get 3536.

Step 6: Convert to Mixed Number

The fraction 3536 can be written as the mixed number 5856.

Final Answer

The result of 30/9 added to 222/4 is:

309+2224=5856

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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