34/170 added to 81/2 in Fraction Form

The result of 34/170 added to 81/2 is: 40 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 34170 and 812.

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 34170 to 34170
Convert 812 to 6885170

Step 4: Add the Numerators

Add the numerators: 34 + 6885 = 6919

Step 5: Simplify the Fraction

We can simplify 6919170 to its lowest form.
The greatest common divisor (GCD) of 6919 and 170 is 17.
Dividing both numerator and denominator by the GCD, we get 40710.

Step 6: Convert to Mixed Number

The fraction 40710 can be written as the mixed number 40710.

Final Answer

The result of 34/170 added to 81/2 is:

34170+812=40710

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).

Fraction Calculator

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