72/151 added to 16/4 in Fraction Form

The result of 72/151 added to 16/4 is: 4 72/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72151 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 4 is 604.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72151 to 288604
Convert 164 to 2416604

Step 4: Add the Numerators

Add the numerators: 288 + 2416 = 2704

Step 5: Simplify the Fraction

We can simplify 2704604 to its lowest form.
The greatest common divisor (GCD) of 2704 and 604 is 4.
Dividing both numerator and denominator by the GCD, we get 676151.

Step 6: Convert to Mixed Number

The fraction 676151 can be written as the mixed number 472151.

Final Answer

The result of 72/151 added to 16/4 is:

72151+164=472151

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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