83/17 added to 140/2 in Fraction Form

The result of 83/17 added to 140/2 is: 74 15/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8317 and 1402.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 2 is 34.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8317 to 16634
Convert 1402 to 238034

Step 4: Add the Numerators

Add the numerators: 166 + 2380 = 2546

Step 5: Simplify the Fraction

We can simplify 254634 to its lowest form.
The greatest common divisor (GCD) of 2546 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 127317.

Step 6: Convert to Mixed Number

The fraction 127317 can be written as the mixed number 741517.

Final Answer

The result of 83/17 added to 140/2 is:

8317+1402=741517

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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