83/18 added to 16/4 in Fraction Form

The result of 83/18 added to 16/4 is: 8 11/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8318 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8318 to 16636
Convert 164 to 14436

Step 4: Add the Numerators

Add the numerators: 166 + 144 = 310

Step 5: Simplify the Fraction

We can simplify 31036 to its lowest form.
The greatest common divisor (GCD) of 310 and 36 is 2.
Dividing both numerator and denominator by the GCD, we get 15518.

Step 6: Convert to Mixed Number

The fraction 15518 can be written as the mixed number 81118.

Final Answer

The result of 83/18 added to 16/4 is:

8318+164=81118

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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