27/101 added to 146/6 in Fraction Form

The result of 27/101 added to 146/6 is: 24 182/303

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27101 and 1466.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 6 is 606.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27101 to 162606
Convert 1466 to 14746606

Step 4: Add the Numerators

Add the numerators: 162 + 14746 = 14908

Step 5: Simplify the Fraction

We can simplify 14908606 to its lowest form.
The greatest common divisor (GCD) of 14908 and 606 is 2.
Dividing both numerator and denominator by the GCD, we get 7454303.

Step 6: Convert to Mixed Number

The fraction 7454303 can be written as the mixed number 24182303.

Final Answer

The result of 27/101 added to 146/6 is:

27101+1466=24182303

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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