24/213 added to 42/2 in Fraction Form

The result of 24/213 added to 42/2 is: 21 8/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24213 and 422.

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 24213 to 48426
Convert 422 to 8946426

Step 4: Add the Numerators

Add the numerators: 48 + 8946 = 8994

Step 5: Simplify the Fraction

We can simplify 8994426 to its lowest form.
The greatest common divisor (GCD) of 8994 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 149971.

Step 6: Convert to Mixed Number

The fraction 149971 can be written as the mixed number 21871.

Final Answer

The result of 24/213 added to 42/2 is:

24213+422=21871

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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