67/41 added to 210/4 in Fraction Form

The result of 67/41 added to 210/4 is: 54 11/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6741 and 2104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6741 to 268164
Convert 2104 to 8610164

Step 4: Add the Numerators

Add the numerators: 268 + 8610 = 8878

Step 5: Simplify the Fraction

We can simplify 8878164 to its lowest form.
The greatest common divisor (GCD) of 8878 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 443982.

Step 6: Convert to Mixed Number

The fraction 443982 can be written as the mixed number 541182.

Final Answer

The result of 67/41 added to 210/4 is:

6741+2104=541182

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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