9/82 added to 213/2 in Fraction Form

The result of 9/82 added to 213/2 is: 106 25/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 982 and 2132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 2 is 82.

Step 3: Convert Fractions to Equivalent Fractions

Convert 982 to 982
Convert 2132 to 873382

Step 4: Add the Numerators

Add the numerators: 9 + 8733 = 8742

Step 5: Simplify the Fraction

We can simplify 874282 to its lowest form.
The greatest common divisor (GCD) of 8742 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 437141.

Step 6: Convert to Mixed Number

The fraction 437141 can be written as the mixed number 1062541.

Final Answer

The result of 9/82 added to 213/2 is:

982+2132=1062541

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).

Fraction Calculator

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