22/8 added to 197/3 in Fraction Form

The result of 22/8 added to 197/3 is: 68 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 228 and 1973.

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 228 to 6624
Convert 1973 to 157624

Step 4: Add the Numerators

Add the numerators: 66 + 1576 = 1642

Step 5: Simplify the Fraction

We can simplify 164224 to its lowest form.
The greatest common divisor (GCD) of 1642 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 82112.

Step 6: Convert to Mixed Number

The fraction 82112 can be written as the mixed number 68512.

Final Answer

The result of 22/8 added to 197/3 is:

228+1973=68512

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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