15/34 added to 83/2 in Fraction Form

The result of 15/34 added to 83/2 is: 41 16/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1534 and 832.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 1534 to 1534
Convert 832 to 141134

Step 4: Add the Numerators

Add the numerators: 15 + 1411 = 1426

Step 5: Simplify the Fraction

We can simplify 142634 to its lowest form.
The greatest common divisor (GCD) of 1426 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 71317.

Step 6: Convert to Mixed Number

The fraction 71317 can be written as the mixed number 411617.

Final Answer

The result of 15/34 added to 83/2 is:

1534+832=411617

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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