17/182 added to 67/2 in Fraction Form

The result of 17/182 added to 67/2 is: 33 54/91

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17182 and 672.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 2 is 182.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17182 to 17182
Convert 672 to 6097182

Step 4: Add the Numerators

Add the numerators: 17 + 6097 = 6114

Step 5: Simplify the Fraction

We can simplify 6114182 to its lowest form.
The greatest common divisor (GCD) of 6114 and 182 is 2.
Dividing both numerator and denominator by the GCD, we get 305791.

Step 6: Convert to Mixed Number

The fraction 305791 can be written as the mixed number 335491.

Final Answer

The result of 17/182 added to 67/2 is:

17182+672=335491

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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