17/29 added to 20/2 in Fraction Form

The result of 17/29 added to 20/2 is: 10 17/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1729 and 202.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 29 and 2 is 58.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1729 to 3458
Convert 202 to 58058

Step 4: Add the Numerators

Add the numerators: 34 + 580 = 614

Step 5: Simplify the Fraction

We can simplify 61458 to its lowest form.
The greatest common divisor (GCD) of 614 and 58 is 2.
Dividing both numerator and denominator by the GCD, we get 30729.

Step 6: Convert to Mixed Number

The fraction 30729 can be written as the mixed number 101729.

Final Answer

The result of 17/29 added to 20/2 is:

1729+202=101729

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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