33/74 added to 213/3 in Fraction Form

The result of 33/74 added to 213/3 is: 71 33/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3374 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3374 to 99222
Convert 2133 to 15762222

Step 4: Add the Numerators

Add the numerators: 99 + 15762 = 15861

Step 5: Simplify the Fraction

We can simplify 15861222 to its lowest form.
The greatest common divisor (GCD) of 15861 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get 528774.

Step 6: Convert to Mixed Number

The fraction 528774 can be written as the mixed number 713374.

Final Answer

The result of 33/74 added to 213/3 is:

3374+2133=713374

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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