15/127 added to 171/6 in Fraction Form

The result of 15/127 added to 171/6 is: 28 157/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15127 and 1716.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15127 to 90762
Convert 1716 to 21717762

Step 4: Add the Numerators

Add the numerators: 90 + 21717 = 21807

Step 5: Simplify the Fraction

We can simplify 21807762 to its lowest form.
The greatest common divisor (GCD) of 21807 and 762 is 3.
Dividing both numerator and denominator by the GCD, we get 7269254.

Step 6: Convert to Mixed Number

The fraction 7269254 can be written as the mixed number 28157254.

Final Answer

The result of 15/127 added to 171/6 is:

15127+1716=28157254

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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