72/92 added to 26/6 in Fraction Form

The result of 72/92 added to 26/6 is: 5 8/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7292 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 6 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7292 to 216276
Convert 266 to 1196276

Step 4: Add the Numerators

Add the numerators: 216 + 1196 = 1412

Step 5: Simplify the Fraction

We can simplify 1412276 to its lowest form.
The greatest common divisor (GCD) of 1412 and 276 is 4.
Dividing both numerator and denominator by the GCD, we get 35369.

Step 6: Convert to Mixed Number

The fraction 35369 can be written as the mixed number 5869.

Final Answer

The result of 72/92 added to 26/6 is:

7292+266=5869

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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