38/212 added to 42/4 in Fraction Form

The result of 38/212 added to 42/4 is: 10 36/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38212 and 424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38212 to 38212
Convert 424 to 2226212

Step 4: Add the Numerators

Add the numerators: 38 + 2226 = 2264

Step 5: Simplify the Fraction

We can simplify 2264212 to its lowest form.
The greatest common divisor (GCD) of 2264 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get 56653.

Step 6: Convert to Mixed Number

The fraction 56653 can be written as the mixed number 103653.

Final Answer

The result of 38/212 added to 42/4 is:

38212+424=103653

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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