82/15 added to 166/4 in Fraction Form

The result of 82/15 added to 166/4 is: 46 29/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8215 and 1664.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8215 to 32860
Convert 1664 to 249060

Step 4: Add the Numerators

Add the numerators: 328 + 2490 = 2818

Step 5: Simplify the Fraction

We can simplify 281860 to its lowest form.
The greatest common divisor (GCD) of 2818 and 60 is 2.
Dividing both numerator and denominator by the GCD, we get 140930.

Step 6: Convert to Mixed Number

The fraction 140930 can be written as the mixed number 462930.

Final Answer

The result of 82/15 added to 166/4 is:

8215+1664=462930

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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