15/73 added to 212/2 in Fraction Form

The result of 15/73 added to 212/2 is: 106 15/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1573 and 2122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1573 to 30146
Convert 2122 to 15476146

Step 4: Add the Numerators

Add the numerators: 30 + 15476 = 15506

Step 5: Simplify the Fraction

We can simplify 15506146 to its lowest form.
The greatest common divisor (GCD) of 15506 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 775373.

Step 6: Convert to Mixed Number

The fraction 775373 can be written as the mixed number 1061573.

Final Answer

The result of 15/73 added to 212/2 is:

1573+2122=1061573

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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