117/92 added to 81/3 in Fraction Form

The result of 117/92 added to 81/3 is: 28 25/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11792 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 3 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11792 to 351276
Convert 813 to 7452276

Step 4: Add the Numerators

Add the numerators: 351 + 7452 = 7803

Step 5: Simplify the Fraction

We can simplify 7803276 to its lowest form.
The greatest common divisor (GCD) of 7803 and 276 is 3.
Dividing both numerator and denominator by the GCD, we get 260192.

Step 6: Convert to Mixed Number

The fraction 260192 can be written as the mixed number 282592.

Final Answer

The result of 117/92 added to 81/3 is:

11792+813=282592

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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