101/170 added to 19/2 in Fraction Form

The result of 101/170 added to 19/2 is: 10 8/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 101170 and 192.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 101170 to 101170
Convert 192 to 1615170

Step 4: Add the Numerators

Add the numerators: 101 + 1615 = 1716

Step 5: Simplify the Fraction

We can simplify 1716170 to its lowest form.
The greatest common divisor (GCD) of 1716 and 170 is 2.
Dividing both numerator and denominator by the GCD, we get 85885.

Step 6: Convert to Mixed Number

The fraction 85885 can be written as the mixed number 10885.

Final Answer

The result of 101/170 added to 19/2 is:

101170+192=10885

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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