81/171 added to 39/4 in Fraction Form

The result of 81/171 added to 39/4 is: 10 17/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81171 and 394.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 4 is 684.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81171 to 324684
Convert 394 to 6669684

Step 4: Add the Numerators

Add the numerators: 324 + 6669 = 6993

Step 5: Simplify the Fraction

We can simplify 6993684 to its lowest form.
The greatest common divisor (GCD) of 6993 and 684 is 9.
Dividing both numerator and denominator by the GCD, we get 77776.

Step 6: Convert to Mixed Number

The fraction 77776 can be written as the mixed number 101776.

Final Answer

The result of 81/171 added to 39/4 is:

81171+394=101776

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).

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