15/185 added to 57/3 in Fraction Form

The result of 15/185 added to 57/3 is: 19 3/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15185 and 573.

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 573 to 10545555

Step 4: Add the Numerators

Add the numerators: 45 + 10545 = 10590

Step 5: Simplify the Fraction

We can simplify 10590555 to its lowest form.
The greatest common divisor (GCD) of 10590 and 555 is 15.
Dividing both numerator and denominator by the GCD, we get 70637.

Step 6: Convert to Mixed Number

The fraction 70637 can be written as the mixed number 19337.

Final Answer

The result of 15/185 added to 57/3 is:

15185+573=19337

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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