205/5 added to 67/3 in Fraction Form

The result of 205/5 added to 67/3 is: 63 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2055 and 673.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2055 to 61515
Convert 673 to 33515

Step 4: Add the Numerators

Add the numerators: 615 + 335 = 950

Step 5: Simplify the Fraction

We can simplify 95015 to its lowest form.
The greatest common divisor (GCD) of 950 and 15 is 5.
Dividing both numerator and denominator by the GCD, we get 1903.

Step 6: Convert to Mixed Number

The fraction 1903 can be written as the mixed number 6313.

Final Answer

The result of 205/5 added to 67/3 is:

2055+673=6313

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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