151/101 added to 30/2 in Fraction Form

The result of 151/101 added to 30/2 is: 16 50/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 151101 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 151101 to 302202
Convert 302 to 3030202

Step 4: Add the Numerators

Add the numerators: 302 + 3030 = 3332

Step 5: Simplify the Fraction

We can simplify 3332202 to its lowest form.
The greatest common divisor (GCD) of 3332 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 1666101.

Step 6: Convert to Mixed Number

The fraction 1666101 can be written as the mixed number 1650101.

Final Answer

The result of 151/101 added to 30/2 is:

151101+302=1650101

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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