191/85 added to 4/2 in Fraction Form

The result of 191/85 added to 4/2 is: 4 21/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19185 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 2 is 170.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19185 to 382170
Convert 42 to 340170

Step 4: Add the Numerators

Add the numerators: 382 + 340 = 722

Step 5: Simplify the Fraction

We can simplify 722170 to its lowest form.
The greatest common divisor (GCD) of 722 and 170 is 2.
Dividing both numerator and denominator by the GCD, we get 36185.

Step 6: Convert to Mixed Number

The fraction 36185 can be written as the mixed number 42185.

Final Answer

The result of 191/85 added to 4/2 is:

19185+42=42185

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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