22/178 added to 81/3 in Fraction Form

The result of 22/178 added to 81/3 is: 27 11/89

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22178 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 178 and 3 is 534.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22178 to 66534
Convert 813 to 14418534

Step 4: Add the Numerators

Add the numerators: 66 + 14418 = 14484

Step 5: Simplify the Fraction

We can simplify 14484534 to its lowest form.
The greatest common divisor (GCD) of 14484 and 534 is 6.
Dividing both numerator and denominator by the GCD, we get 241489.

Step 6: Convert to Mixed Number

The fraction 241489 can be written as the mixed number 271189.

Final Answer

The result of 22/178 added to 81/3 is:

22178+813=271189

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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