17/87 added to 222/2 in Fraction Form

The result of 17/87 added to 222/2 is: 111 17/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1787 and 2222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 2 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1787 to 34174
Convert 2222 to 19314174

Step 4: Add the Numerators

Add the numerators: 34 + 19314 = 19348

Step 5: Simplify the Fraction

We can simplify 19348174 to its lowest form.
The greatest common divisor (GCD) of 19348 and 174 is 2.
Dividing both numerator and denominator by the GCD, we get 967487.

Step 6: Convert to Mixed Number

The fraction 967487 can be written as the mixed number 1111787.

Final Answer

The result of 17/87 added to 222/2 is:

1787+2222=1111787

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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