128/10 added to 170/3 in Fraction Form

The result of 128/10 added to 170/3 is: 69 7/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12810 and 1703.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 3 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12810 to 38430
Convert 1703 to 170030

Step 4: Add the Numerators

Add the numerators: 384 + 1700 = 2084

Step 5: Simplify the Fraction

We can simplify 208430 to its lowest form.
The greatest common divisor (GCD) of 2084 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 104215.

Step 6: Convert to Mixed Number

The fraction 104215 can be written as the mixed number 69715.

Final Answer

The result of 128/10 added to 170/3 is:

12810+1703=69715

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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