4/42 added to 212/2 in Fraction Form

The result of 4/42 added to 212/2 is: 106 2/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 442 and 2122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 442 to 442
Convert 2122 to 445242

Step 4: Add the Numerators

Add the numerators: 4 + 4452 = 4456

Step 5: Simplify the Fraction

We can simplify 445642 to its lowest form.
The greatest common divisor (GCD) of 4456 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 222821.

Step 6: Convert to Mixed Number

The fraction 222821 can be written as the mixed number 106221.

Final Answer

The result of 4/42 added to 212/2 is:

442+2122=106221

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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