79/83 added to 70/2 in Fraction Form

The result of 79/83 added to 70/2 is: 35 79/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7983 and 702.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 2 is 166.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7983 to 158166
Convert 702 to 5810166

Step 4: Add the Numerators

Add the numerators: 158 + 5810 = 5968

Step 5: Simplify the Fraction

We can simplify 5968166 to its lowest form.
The greatest common divisor (GCD) of 5968 and 166 is 2.
Dividing both numerator and denominator by the GCD, we get 298483.

Step 6: Convert to Mixed Number

The fraction 298483 can be written as the mixed number 357983.

Final Answer

The result of 79/83 added to 70/2 is:

7983+702=357983

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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