69/41 added to 26/8 in Fraction Form

The result of 69/41 added to 26/8 is: 4 153/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6941 and 268.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 8 is 328.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6941 to 552328
Convert 268 to 1066328

Step 4: Add the Numerators

Add the numerators: 552 + 1066 = 1618

Step 5: Simplify the Fraction

We can simplify 1618328 to its lowest form.
The greatest common divisor (GCD) of 1618 and 328 is 2.
Dividing both numerator and denominator by the GCD, we get 809164.

Step 6: Convert to Mixed Number

The fraction 809164 can be written as the mixed number 4153164.

Final Answer

The result of 69/41 added to 26/8 is:

6941+268=4153164

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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