202/8 added to 55/4 in Fraction Form

The result of 202/8 added to 55/4 is: 39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2028 and 554.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 4 is 8.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2028 to 2028
Convert 554 to 1108

Step 4: Add the Numerators

Add the numerators: 202 + 110 = 312

Step 5: Simplify the Fraction

We can simplify 3128 to its lowest form.
The greatest common divisor (GCD) of 312 and 8 is 8.
Dividing both numerator and denominator by the GCD, we get 391.

Final Answer

The result of 202/8 added to 55/4 is:

2028+554=39

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: