72/170 added to 48/6 in Fraction Form

The result of 72/170 added to 48/6 is: 8 36/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72170 and 486.

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 72170 to 216510
Convert 486 to 4080510

Step 4: Add the Numerators

Add the numerators: 216 + 4080 = 4296

Step 5: Simplify the Fraction

We can simplify 4296510 to its lowest form.
The greatest common divisor (GCD) of 4296 and 510 is 6.
Dividing both numerator and denominator by the GCD, we get 71685.

Step 6: Convert to Mixed Number

The fraction 71685 can be written as the mixed number 83685.

Final Answer

The result of 72/170 added to 48/6 is:

72170+486=83685

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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