122/8 added to 164/3 in Fraction Form

The result of 122/8 added to 164/3 is: 69 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1228 and 1643.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1228 to 36624
Convert 1643 to 131224

Step 4: Add the Numerators

Add the numerators: 366 + 1312 = 1678

Step 5: Simplify the Fraction

We can simplify 167824 to its lowest form.
The greatest common divisor (GCD) of 1678 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 83912.

Step 6: Convert to Mixed Number

The fraction 83912 can be written as the mixed number 691112.

Final Answer

The result of 122/8 added to 164/3 is:

1228+1643=691112

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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