21/213 added to 75/4 in Fraction Form

The result of 21/213 added to 75/4 is: 18 241/284

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21213 and 754.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21213 to 84852
Convert 754 to 15975852

Step 4: Add the Numerators

Add the numerators: 84 + 15975 = 16059

Step 5: Simplify the Fraction

We can simplify 16059852 to its lowest form.
The greatest common divisor (GCD) of 16059 and 852 is 3.
Dividing both numerator and denominator by the GCD, we get 5353284.

Step 6: Convert to Mixed Number

The fraction 5353284 can be written as the mixed number 18241284.

Final Answer

The result of 21/213 added to 75/4 is:

21213+754=18241284

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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