82/8 added to 164/4 in Fraction Form

The result of 82/8 added to 164/4 is: 51 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 828 and 1644.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 4 is 8.

Step 3: Convert Fractions to Equivalent Fractions

Convert 828 to 828
Convert 1644 to 3288

Step 4: Add the Numerators

Add the numerators: 82 + 328 = 410

Step 5: Simplify the Fraction

We can simplify 4108 to its lowest form.
The greatest common divisor (GCD) of 410 and 8 is 2.
Dividing both numerator and denominator by the GCD, we get 2054.

Step 6: Convert to Mixed Number

The fraction 2054 can be written as the mixed number 5114.

Final Answer

The result of 82/8 added to 164/4 is:

828+1644=5114

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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