69/170 added to 48/3 in Fraction Form

The result of 69/170 added to 48/3 is: 16 69/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69170 and 483.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 3 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69170 to 207510
Convert 483 to 8160510

Step 4: Add the Numerators

Add the numerators: 207 + 8160 = 8367

Step 5: Simplify the Fraction

We can simplify 8367510 to its lowest form.
The greatest common divisor (GCD) of 8367 and 510 is 3.
Dividing both numerator and denominator by the GCD, we get 2789170.

Step 6: Convert to Mixed Number

The fraction 2789170 can be written as the mixed number 1669170.

Final Answer

The result of 69/170 added to 48/3 is:

69170+483=1669170

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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