170/53 added to 2/2 in Fraction Form

The result of 170/53 added to 2/2 is: 4 11/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17053 and 22.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 2 is 106.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17053 to 340106
Convert 22 to 106106

Step 4: Add the Numerators

Add the numerators: 340 + 106 = 446

Step 5: Simplify the Fraction

We can simplify 446106 to its lowest form.
The greatest common divisor (GCD) of 446 and 106 is 2.
Dividing both numerator and denominator by the GCD, we get 22353.

Step 6: Convert to Mixed Number

The fraction 22353 can be written as the mixed number 41153.

Final Answer

The result of 170/53 added to 2/2 is:

17053+22=41153

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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