50/38 added to 213/3 in Fraction Form

The result of 50/38 added to 213/3 is: 72 6/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5038 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 3 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5038 to 150114
Convert 2133 to 8094114

Step 4: Add the Numerators

Add the numerators: 150 + 8094 = 8244

Step 5: Simplify the Fraction

We can simplify 8244114 to its lowest form.
The greatest common divisor (GCD) of 8244 and 114 is 6.
Dividing both numerator and denominator by the GCD, we get 137419.

Step 6: Convert to Mixed Number

The fraction 137419 can be written as the mixed number 72619.

Final Answer

The result of 50/38 added to 213/3 is:

5038+2133=72619

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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