213/27 added to 38/2 in Fraction Form

The result of 213/27 added to 38/2 is: 26 8/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21327 and 382.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 2 is 54.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21327 to 42654
Convert 382 to 102654

Step 4: Add the Numerators

Add the numerators: 426 + 1026 = 1452

Step 5: Simplify the Fraction

We can simplify 145254 to its lowest form.
The greatest common divisor (GCD) of 1452 and 54 is 6.
Dividing both numerator and denominator by the GCD, we get 2429.

Step 6: Convert to Mixed Number

The fraction 2429 can be written as the mixed number 2689.

Final Answer

The result of 213/27 added to 38/2 is:

21327+382=2689

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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