171/18 added to 127/3 in Fraction Form

The result of 171/18 added to 127/3 is: 51 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17118 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 3 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17118 to 17118
Convert 1273 to 76218

Step 4: Add the Numerators

Add the numerators: 171 + 762 = 933

Step 5: Simplify the Fraction

We can simplify 93318 to its lowest form.
The greatest common divisor (GCD) of 933 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 3116.

Step 6: Convert to Mixed Number

The fraction 3116 can be written as the mixed number 5156.

Final Answer

The result of 171/18 added to 127/3 is:

17118+1273=5156

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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