33/21 added to 213/4 in Fraction Form

The result of 33/21 added to 213/4 is: 54 23/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3321 and 2134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3321 to 13284
Convert 2134 to 447384

Step 4: Add the Numerators

Add the numerators: 132 + 4473 = 4605

Step 5: Simplify the Fraction

We can simplify 460584 to its lowest form.
The greatest common divisor (GCD) of 4605 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get 153528.

Step 6: Convert to Mixed Number

The fraction 153528 can be written as the mixed number 542328.

Final Answer

The result of 33/21 added to 213/4 is:

3321+2134=542328

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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