17/146 added to 27/6 in Fraction Form

The result of 17/146 added to 27/6 is: 4 45/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17146 and 276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 6 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17146 to 51438
Convert 276 to 1971438

Step 4: Add the Numerators

Add the numerators: 51 + 1971 = 2022

Step 5: Simplify the Fraction

We can simplify 2022438 to its lowest form.
The greatest common divisor (GCD) of 2022 and 438 is 6.
Dividing both numerator and denominator by the GCD, we get 33773.

Step 6: Convert to Mixed Number

The fraction 33773 can be written as the mixed number 44573.

Final Answer

The result of 17/146 added to 27/6 is:

17146+276=44573

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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