98/21 added to 185/3 in Fraction Form

The result of 98/21 added to 185/3 is: 66 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9821 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 9821 to 9821
Convert 1853 to 129521

Step 4: Add the Numerators

Add the numerators: 98 + 1295 = 1393

Step 5: Simplify the Fraction

We can simplify 139321 to its lowest form.
The greatest common divisor (GCD) of 1393 and 21 is 7.
Dividing both numerator and denominator by the GCD, we get 1993.

Step 6: Convert to Mixed Number

The fraction 1993 can be written as the mixed number 6613.

Final Answer

The result of 98/21 added to 185/3 is:

9821+1853=6613

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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