30/185 added to 61/3 in Fraction Form

The result of 30/185 added to 61/3 is: 20 55/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30185 and 613.

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 30185 to 90555
Convert 613 to 11285555

Step 4: Add the Numerators

Add the numerators: 90 + 11285 = 11375

Step 5: Simplify the Fraction

We can simplify 11375555 to its lowest form.
The greatest common divisor (GCD) of 11375 and 555 is 5.
Dividing both numerator and denominator by the GCD, we get 2275111.

Step 6: Convert to Mixed Number

The fraction 2275111 can be written as the mixed number 2055111.

Final Answer

The result of 30/185 added to 61/3 is:

30185+613=2055111

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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