202/41 added to 57/3 in Fraction Form

The result of 202/41 added to 57/3 is: 23 38/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20241 and 573.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20241 to 606123
Convert 573 to 2337123

Step 4: Add the Numerators

Add the numerators: 606 + 2337 = 2943

Step 5: Simplify the Fraction

We can simplify 2943123 to its lowest form.
The greatest common divisor (GCD) of 2943 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 98141.

Step 6: Convert to Mixed Number

The fraction 98141 can be written as the mixed number 233841.

Final Answer

The result of 202/41 added to 57/3 is:

20241+573=233841

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

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