82/10 added to 161/3 in Fraction Form

The result of 82/10 added to 161/3 is: 61 13/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8210 and 1613.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 3 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8210 to 24630
Convert 1613 to 161030

Step 4: Add the Numerators

Add the numerators: 246 + 1610 = 1856

Step 5: Simplify the Fraction

We can simplify 185630 to its lowest form.
The greatest common divisor (GCD) of 1856 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 92815.

Step 6: Convert to Mixed Number

The fraction 92815 can be written as the mixed number 611315.

Final Answer

The result of 82/10 added to 161/3 is:

8210+1613=611315

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

Calculate operations between any two fractions: