10/41 added to 102/4 in Fraction Form

The result of 10/41 added to 102/4 is: 25 61/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1041 and 1024.

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 1041 to 40164
Convert 1024 to 4182164

Step 4: Add the Numerators

Add the numerators: 40 + 4182 = 4222

Step 5: Simplify the Fraction

We can simplify 4222164 to its lowest form.
The greatest common divisor (GCD) of 4222 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 211182.

Step 6: Convert to Mixed Number

The fraction 211182 can be written as the mixed number 256182.

Final Answer

The result of 10/41 added to 102/4 is:

1041+1024=256182

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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