15/185 added to 112/3 in Fraction Form

The result of 15/185 added to 112/3 is: 37 46/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15185 and 1123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 3 is 555.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15185 to 45555
Convert 1123 to 20720555

Step 4: Add the Numerators

Add the numerators: 45 + 20720 = 20765

Step 5: Simplify the Fraction

We can simplify 20765555 to its lowest form.
The greatest common divisor (GCD) of 20765 and 555 is 5.
Dividing both numerator and denominator by the GCD, we get 4153111.

Step 6: Convert to Mixed Number

The fraction 4153111 can be written as the mixed number 3746111.

Final Answer

The result of 15/185 added to 112/3 is:

15185+1123=3746111

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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