181/112 added to 12/3 in Fraction Form

The result of 181/112 added to 12/3 is: 5 69/112

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 181112 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 3 is 336.

Step 3: Convert Fractions to Equivalent Fractions

Convert 181112 to 543336
Convert 123 to 1344336

Step 4: Add the Numerators

Add the numerators: 543 + 1344 = 1887

Step 5: Simplify the Fraction

We can simplify 1887336 to its lowest form.
The greatest common divisor (GCD) of 1887 and 336 is 3.
Dividing both numerator and denominator by the GCD, we get 629112.

Step 6: Convert to Mixed Number

The fraction 629112 can be written as the mixed number 569112.

Final Answer

The result of 181/112 added to 12/3 is:

181112+123=569112

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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