69/170 added to 85/6 in Fraction Form

The result of 69/170 added to 85/6 is: 14 146/255

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69170 and 856.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 6 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69170 to 207510
Convert 856 to 7225510

Step 4: Add the Numerators

Add the numerators: 207 + 7225 = 7432

Step 5: Simplify the Fraction

We can simplify 7432510 to its lowest form.
The greatest common divisor (GCD) of 7432 and 510 is 2.
Dividing both numerator and denominator by the GCD, we get 3716255.

Step 6: Convert to Mixed Number

The fraction 3716255 can be written as the mixed number 14146255.

Final Answer

The result of 69/170 added to 85/6 is:

69170+856=14146255

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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