12/232 added to 17/4 in Fraction Form

The result of 12/232 added to 17/4 is: 4 35/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12232 and 174.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 4 is 232.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12232 to 12232
Convert 174 to 986232

Step 4: Add the Numerators

Add the numerators: 12 + 986 = 998

Step 5: Simplify the Fraction

We can simplify 998232 to its lowest form.
The greatest common divisor (GCD) of 998 and 232 is 2.
Dividing both numerator and denominator by the GCD, we get 499116.

Step 6: Convert to Mixed Number

The fraction 499116 can be written as the mixed number 435116.

Final Answer

The result of 12/232 added to 17/4 is:

12232+174=435116

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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