168/5 added to 39/3 in Fraction Form

The result of 168/5 added to 39/3 is: 46 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1685 and 393.

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 1685 to 50415
Convert 393 to 19515

Step 4: Add the Numerators

Add the numerators: 504 + 195 = 699

Step 5: Simplify the Fraction

We can simplify 69915 to its lowest form.
The greatest common divisor (GCD) of 699 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get 2335.

Step 6: Convert to Mixed Number

The fraction 2335 can be written as the mixed number 4635.

Final Answer

The result of 168/5 added to 39/3 is:

1685+393=4635

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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