17/44 added to 127/4 in Fraction Form

The result of 17/44 added to 127/4 is: 32 3/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1744 and 1274.

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 1744 to 1744
Convert 1274 to 139744

Step 4: Add the Numerators

Add the numerators: 17 + 1397 = 1414

Step 5: Simplify the Fraction

We can simplify 141444 to its lowest form.
The greatest common divisor (GCD) of 1414 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 70722.

Step 6: Convert to Mixed Number

The fraction 70722 can be written as the mixed number 32322.

Final Answer

The result of 17/44 added to 127/4 is:

1744+1274=32322

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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