47/39 added to 222/4 in Fraction Form

The result of 47/39 added to 222/4 is: 56 55/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4739 and 2224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4739 to 188156
Convert 2224 to 8658156

Step 4: Add the Numerators

Add the numerators: 188 + 8658 = 8846

Step 5: Simplify the Fraction

We can simplify 8846156 to its lowest form.
The greatest common divisor (GCD) of 8846 and 156 is 2.
Dividing both numerator and denominator by the GCD, we get 442378.

Step 6: Convert to Mixed Number

The fraction 442378 can be written as the mixed number 565578.

Final Answer

The result of 47/39 added to 222/4 is:

4739+2224=565578

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

Calculate operations between any two fractions: