72/101 added to 146/2 in Fraction Form

The result of 72/101 added to 146/2 is: 73 72/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72101 and 1462.

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 72101 to 144202
Convert 1462 to 14746202

Step 4: Add the Numerators

Add the numerators: 144 + 14746 = 14890

Step 5: Simplify the Fraction

We can simplify 14890202 to its lowest form.
The greatest common divisor (GCD) of 14890 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 7445101.

Step 6: Convert to Mixed Number

The fraction 7445101 can be written as the mixed number 7372101.

Final Answer

The result of 72/101 added to 146/2 is:

72101+1462=7372101

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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