184/20 added to 101/3 in Fraction Form

The result of 184/20 added to 101/3 is: 42 13/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18420 and 1013.

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 18420 to 55260
Convert 1013 to 202060

Step 4: Add the Numerators

Add the numerators: 552 + 2020 = 2572

Step 5: Simplify the Fraction

We can simplify 257260 to its lowest form.
The greatest common divisor (GCD) of 2572 and 60 is 4.
Dividing both numerator and denominator by the GCD, we get 64315.

Step 6: Convert to Mixed Number

The fraction 64315 can be written as the mixed number 421315.

Final Answer

The result of 184/20 added to 101/3 is:

18420+1013=421315

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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