151/139 added to 30/2 in Fraction Form

The result of 151/139 added to 30/2 is: 16 12/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 151139 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 2 is 278.

Step 3: Convert Fractions to Equivalent Fractions

Convert 151139 to 302278
Convert 302 to 4170278

Step 4: Add the Numerators

Add the numerators: 302 + 4170 = 4472

Step 5: Simplify the Fraction

We can simplify 4472278 to its lowest form.
The greatest common divisor (GCD) of 4472 and 278 is 2.
Dividing both numerator and denominator by the GCD, we get 2236139.

Step 6: Convert to Mixed Number

The fraction 2236139 can be written as the mixed number 1612139.

Final Answer

The result of 151/139 added to 30/2 is:

151139+302=1612139

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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