18/27 added to 213/4 in Fraction Form

The result of 18/27 added to 213/4 is: 53 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1827 and 2134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1827 to 72108
Convert 2134 to 5751108

Step 4: Add the Numerators

Add the numerators: 72 + 5751 = 5823

Step 5: Simplify the Fraction

We can simplify 5823108 to its lowest form.
The greatest common divisor (GCD) of 5823 and 108 is 9.
Dividing both numerator and denominator by the GCD, we get 64712.

Step 6: Convert to Mixed Number

The fraction 64712 can be written as the mixed number 531112.

Final Answer

The result of 18/27 added to 213/4 is:

1827+2134=531112

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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