17/61 added to 228/2 in Fraction Form

The result of 17/61 added to 228/2 is: 114 17/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1761 and 2282.

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 1761 to 34122
Convert 2282 to 13908122

Step 4: Add the Numerators

Add the numerators: 34 + 13908 = 13942

Step 5: Simplify the Fraction

We can simplify 13942122 to its lowest form.
The greatest common divisor (GCD) of 13942 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 697161.

Step 6: Convert to Mixed Number

The fraction 697161 can be written as the mixed number 1141761.

Final Answer

The result of 17/61 added to 228/2 is:

1761+2282=1141761

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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