19/11 added to 27/3 in Fraction Form

The result of 19/11 added to 27/3 is: 10 8/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1911 and 273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 3 is 33.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1911 to 5733
Convert 273 to 29733

Step 4: Add the Numerators

Add the numerators: 57 + 297 = 354

Step 5: Simplify the Fraction

We can simplify 35433 to its lowest form.
The greatest common divisor (GCD) of 354 and 33 is 3.
Dividing both numerator and denominator by the GCD, we get 11811.

Step 6: Convert to Mixed Number

The fraction 11811 can be written as the mixed number 10811.

Final Answer

The result of 19/11 added to 27/3 is:

1911+273=10811

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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