82/92 added to 112/3 in Fraction Form

The result of 82/92 added to 112/3 is: 38 31/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8292 and 1123.

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 8292 to 246276
Convert 1123 to 10304276

Step 4: Add the Numerators

Add the numerators: 246 + 10304 = 10550

Step 5: Simplify the Fraction

We can simplify 10550276 to its lowest form.
The greatest common divisor (GCD) of 10550 and 276 is 2.
Dividing both numerator and denominator by the GCD, we get 5275138.

Step 6: Convert to Mixed Number

The fraction 5275138 can be written as the mixed number 3831138.

Final Answer

The result of 82/92 added to 112/3 is:

8292+1123=3831138

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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