27/61 added to 32/2 in Fraction Form

The result of 27/61 added to 32/2 is: 16 27/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2761 and 322.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 61 and 2 is 122.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2761 to 54122
Convert 322 to 1952122

Step 4: Add the Numerators

Add the numerators: 54 + 1952 = 2006

Step 5: Simplify the Fraction

We can simplify 2006122 to its lowest form.
The greatest common divisor (GCD) of 2006 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 100361.

Step 6: Convert to Mixed Number

The fraction 100361 can be written as the mixed number 162761.

Final Answer

The result of 27/61 added to 32/2 is:

2761+322=162761

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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