200/78 added to 4/4 in Fraction Form

The result of 200/78 added to 4/4 is: 3 22/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20078 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20078 to 400156
Convert 44 to 156156

Step 4: Add the Numerators

Add the numerators: 400 + 156 = 556

Step 5: Simplify the Fraction

We can simplify 556156 to its lowest form.
The greatest common divisor (GCD) of 556 and 156 is 4.
Dividing both numerator and denominator by the GCD, we get 13939.

Step 6: Convert to Mixed Number

The fraction 13939 can be written as the mixed number 32239.

Final Answer

The result of 200/78 added to 4/4 is:

20078+44=32239

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: