10/82 added to 215/3 in Fraction Form

The result of 10/82 added to 215/3 is: 71 97/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1082 and 2153.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1082 to 30246
Convert 2153 to 17630246

Step 4: Add the Numerators

Add the numerators: 30 + 17630 = 17660

Step 5: Simplify the Fraction

We can simplify 17660246 to its lowest form.
The greatest common divisor (GCD) of 17660 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 8830123.

Step 6: Convert to Mixed Number

The fraction 8830123 can be written as the mixed number 7197123.

Final Answer

The result of 10/82 added to 215/3 is:

1082+2153=7197123

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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