12/71 added to 212/2 in Fraction Form

The result of 12/71 added to 212/2 is: 106 12/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1271 and 2122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 2 is 142.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1271 to 24142
Convert 2122 to 15052142

Step 4: Add the Numerators

Add the numerators: 24 + 15052 = 15076

Step 5: Simplify the Fraction

We can simplify 15076142 to its lowest form.
The greatest common divisor (GCD) of 15076 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 753871.

Step 6: Convert to Mixed Number

The fraction 753871 can be written as the mixed number 1061271.

Final Answer

The result of 12/71 added to 212/2 is:

1271+2122=1061271

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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