30/155 added to 102/2 in Fraction Form

The result of 30/155 added to 102/2 is: 51 6/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30155 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 2 is 310.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30155 to 60310
Convert 1022 to 15810310

Step 4: Add the Numerators

Add the numerators: 60 + 15810 = 15870

Step 5: Simplify the Fraction

We can simplify 15870310 to its lowest form.
The greatest common divisor (GCD) of 15870 and 310 is 10.
Dividing both numerator and denominator by the GCD, we get 158731.

Step 6: Convert to Mixed Number

The fraction 158731 can be written as the mixed number 51631.

Final Answer

The result of 30/155 added to 102/2 is:

30155+1022=51631

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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