17/74 added to 21/2 in Fraction Form

The result of 17/74 added to 21/2 is: 10 27/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1774 and 212.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 2 is 74.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1774 to 1774
Convert 212 to 77774

Step 4: Add the Numerators

Add the numerators: 17 + 777 = 794

Step 5: Simplify the Fraction

We can simplify 79474 to its lowest form.
The greatest common divisor (GCD) of 794 and 74 is 2.
Dividing both numerator and denominator by the GCD, we get 39737.

Step 6: Convert to Mixed Number

The fraction 39737 can be written as the mixed number 102737.

Final Answer

The result of 17/74 added to 21/2 is:

1774+212=102737

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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