11/47 added to 222/4 in Fraction Form

The result of 11/47 added to 222/4 is: 55 69/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1147 and 2224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 4 is 188.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1147 to 44188
Convert 2224 to 10434188

Step 4: Add the Numerators

Add the numerators: 44 + 10434 = 10478

Step 5: Simplify the Fraction

We can simplify 10478188 to its lowest form.
The greatest common divisor (GCD) of 10478 and 188 is 2.
Dividing both numerator and denominator by the GCD, we get 523994.

Step 6: Convert to Mixed Number

The fraction 523994 can be written as the mixed number 556994.

Final Answer

The result of 11/47 added to 222/4 is:

1147+2224=556994

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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