162/72 added to 81/2 in Fraction Form

The result of 162/72 added to 81/2 is: 42 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16272 and 812.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 2 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16272 to 16272
Convert 812 to 291672

Step 4: Add the Numerators

Add the numerators: 162 + 2916 = 3078

Step 5: Simplify the Fraction

We can simplify 307872 to its lowest form.
The greatest common divisor (GCD) of 3078 and 72 is 18.
Dividing both numerator and denominator by the GCD, we get 1714.

Step 6: Convert to Mixed Number

The fraction 1714 can be written as the mixed number 4234.

Final Answer

The result of 162/72 added to 81/2 is:

16272+812=4234

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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