12/74 added to 212/2 in Fraction Form

The result of 12/74 added to 212/2 is: 106 6/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1274 and 2122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 2 is 74.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1274 to 1274
Convert 2122 to 784474

Step 4: Add the Numerators

Add the numerators: 12 + 7844 = 7856

Step 5: Simplify the Fraction

We can simplify 785674 to its lowest form.
The greatest common divisor (GCD) of 7856 and 74 is 2.
Dividing both numerator and denominator by the GCD, we get 392837.

Step 6: Convert to Mixed Number

The fraction 392837 can be written as the mixed number 106637.

Final Answer

The result of 12/74 added to 212/2 is:

1274+2122=106637

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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