81/34 added to 12/3 in Fraction Form

The result of 81/34 added to 12/3 is: 6 13/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8134 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8134 to 243102
Convert 123 to 408102

Step 4: Add the Numerators

Add the numerators: 243 + 408 = 651

Step 5: Simplify the Fraction

We can simplify 651102 to its lowest form.
The greatest common divisor (GCD) of 651 and 102 is 3.
Dividing both numerator and denominator by the GCD, we get 21734.

Step 6: Convert to Mixed Number

The fraction 21734 can be written as the mixed number 61334.

Final Answer

The result of 81/34 added to 12/3 is:

8134+123=61334

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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