17/238 added to 4/4 in Fraction Form

The result of 17/238 added to 4/4 is: 1 1/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17238 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 4 is 476.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17238 to 34476
Convert 44 to 476476

Step 4: Add the Numerators

Add the numerators: 34 + 476 = 510

Step 5: Simplify the Fraction

We can simplify 510476 to its lowest form.
The greatest common divisor (GCD) of 510 and 476 is 34.
Dividing both numerator and denominator by the GCD, we get 1514.

Step 6: Convert to Mixed Number

The fraction 1514 can be written as the mixed number 1114.

Final Answer

The result of 17/238 added to 4/4 is:

17238+44=1114

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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