30/185 added to 72/4 in Fraction Form

The result of 30/185 added to 72/4 is: 18 6/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30185 and 724.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30185 to 120740
Convert 724 to 13320740

Step 4: Add the Numerators

Add the numerators: 120 + 13320 = 13440

Step 5: Simplify the Fraction

We can simplify 13440740 to its lowest form.
The greatest common divisor (GCD) of 13440 and 740 is 20.
Dividing both numerator and denominator by the GCD, we get 67237.

Step 6: Convert to Mixed Number

The fraction 67237 can be written as the mixed number 18637.

Final Answer

The result of 30/185 added to 72/4 is:

30185+724=18637

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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