182/12 added to 101/2 in Fraction Form

The result of 182/12 added to 101/2 is: 65 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18212 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 2 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18212 to 18212
Convert 1012 to 60612

Step 4: Add the Numerators

Add the numerators: 182 + 606 = 788

Step 5: Simplify the Fraction

We can simplify 78812 to its lowest form.
The greatest common divisor (GCD) of 788 and 12 is 4.
Dividing both numerator and denominator by the GCD, we get 1973.

Step 6: Convert to Mixed Number

The fraction 1973 can be written as the mixed number 6523.

Final Answer

The result of 182/12 added to 101/2 is:

18212+1012=6523

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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