72/82 added to 171/3 in Fraction Form

The result of 72/82 added to 171/3 is: 57 36/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7282 and 1713.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7282 to 216246
Convert 1713 to 14022246

Step 4: Add the Numerators

Add the numerators: 216 + 14022 = 14238

Step 5: Simplify the Fraction

We can simplify 14238246 to its lowest form.
The greatest common divisor (GCD) of 14238 and 246 is 6.
Dividing both numerator and denominator by the GCD, we get 237341.

Step 6: Convert to Mixed Number

The fraction 237341 can be written as the mixed number 573641.

Final Answer

The result of 72/82 added to 171/3 is:

7282+1713=573641

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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