18/20 added to 47/3 in Fraction Form

The result of 18/20 added to 47/3 is: 16 17/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1820 and 473.

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 1820 to 5460
Convert 473 to 94060

Step 4: Add the Numerators

Add the numerators: 54 + 940 = 994

Step 5: Simplify the Fraction

We can simplify 99460 to its lowest form.
The greatest common divisor (GCD) of 994 and 60 is 2.
Dividing both numerator and denominator by the GCD, we get 49730.

Step 6: Convert to Mixed Number

The fraction 49730 can be written as the mixed number 161730.

Final Answer

The result of 18/20 added to 47/3 is:

1820+473=161730

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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