17/7 added to 184/6 in Fraction Form

The result of 17/7 added to 184/6 is: 33 2/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 177 and 1846.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 177 to 10242
Convert 1846 to 128842

Step 4: Add the Numerators

Add the numerators: 102 + 1288 = 1390

Step 5: Simplify the Fraction

We can simplify 139042 to its lowest form.
The greatest common divisor (GCD) of 1390 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 69521.

Step 6: Convert to Mixed Number

The fraction 69521 can be written as the mixed number 33221.

Final Answer

The result of 17/7 added to 184/6 is:

177+1846=33221

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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