202/53 added to 58/2 in Fraction Form

The result of 202/53 added to 58/2 is: 32 43/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20253 and 582.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 2 is 106.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20253 to 404106
Convert 582 to 3074106

Step 4: Add the Numerators

Add the numerators: 404 + 3074 = 3478

Step 5: Simplify the Fraction

We can simplify 3478106 to its lowest form.
The greatest common divisor (GCD) of 3478 and 106 is 2.
Dividing both numerator and denominator by the GCD, we get 173953.

Step 6: Convert to Mixed Number

The fraction 173953 can be written as the mixed number 324353.

Final Answer

The result of 202/53 added to 58/2 is:

20253+582=324353

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: