27/44 added to 17/4 in Fraction Form

The result of 27/44 added to 17/4 is: 4 19/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2744 and 174.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 44 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2744 to 2744
Convert 174 to 18744

Step 4: Add the Numerators

Add the numerators: 27 + 187 = 214

Step 5: Simplify the Fraction

We can simplify 21444 to its lowest form.
The greatest common divisor (GCD) of 214 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 10722.

Step 6: Convert to Mixed Number

The fraction 10722 can be written as the mixed number 41922.

Final Answer

The result of 27/44 added to 17/4 is:

2744+174=41922

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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