17/10 added to 35/2 in Fraction Form

The result of 17/10 added to 35/2 is: 19 1/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1710 and 352.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1710 to 1710
Convert 352 to 17510

Step 4: Add the Numerators

Add the numerators: 17 + 175 = 192

Step 5: Simplify the Fraction

We can simplify 19210 to its lowest form.
The greatest common divisor (GCD) of 192 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get 965.

Step 6: Convert to Mixed Number

The fraction 965 can be written as the mixed number 1915.

Final Answer

The result of 17/10 added to 35/2 is:

1710+352=1915

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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