4/20 added to 17/3 in Fraction Form

The result of 4/20 added to 17/3 is: 5 13/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 420 and 173.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 3 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 420 to 1260
Convert 173 to 34060

Step 4: Add the Numerators

Add the numerators: 12 + 340 = 352

Step 5: Simplify the Fraction

We can simplify 35260 to its lowest form.
The greatest common divisor (GCD) of 352 and 60 is 4.
Dividing both numerator and denominator by the GCD, we get 8815.

Step 6: Convert to Mixed Number

The fraction 8815 can be written as the mixed number 51315.

Final Answer

The result of 4/20 added to 17/3 is:

420+173=51315

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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