71/213 added to 20/2 in Fraction Form

The result of 71/213 added to 20/2 is: 10 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 71213 and 202.

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 71213 to 142426
Convert 202 to 4260426

Step 4: Add the Numerators

Add the numerators: 142 + 4260 = 4402

Step 5: Simplify the Fraction

We can simplify 4402426 to its lowest form.
The greatest common divisor (GCD) of 4402 and 426 is 142.
Dividing both numerator and denominator by the GCD, we get 313.

Step 6: Convert to Mixed Number

The fraction 313 can be written as the mixed number 1013.

Final Answer

The result of 71/213 added to 20/2 is:

71213+202=1013

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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