10/85 added to 194/3 in Fraction Form

The result of 10/85 added to 194/3 is: 64 40/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1085 and 1943.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 3 is 255.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1085 to 30255
Convert 1943 to 16490255

Step 4: Add the Numerators

Add the numerators: 30 + 16490 = 16520

Step 5: Simplify the Fraction

We can simplify 16520255 to its lowest form.
The greatest common divisor (GCD) of 16520 and 255 is 5.
Dividing both numerator and denominator by the GCD, we get 330451.

Step 6: Convert to Mixed Number

The fraction 330451 can be written as the mixed number 644051.

Final Answer

The result of 10/85 added to 194/3 is:

1085+1943=644051

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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