47/213 added to 72/2 in Fraction Form

The result of 47/213 added to 72/2 is: 36 47/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 47213 and 722.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 2 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 47213 to 94426
Convert 722 to 15336426

Step 4: Add the Numerators

Add the numerators: 94 + 15336 = 15430

Step 5: Simplify the Fraction

We can simplify 15430426 to its lowest form.
The greatest common divisor (GCD) of 15430 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 7715213.

Step 6: Convert to Mixed Number

The fraction 7715213 can be written as the mixed number 3647213.

Final Answer

The result of 47/213 added to 72/2 is:

47213+722=3647213

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).

Fraction Calculator

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