158/81 added to 34/2 in Fraction Form

The result of 158/81 added to 34/2 is: 18 77/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15881 and 342.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15881 to 316162
Convert 342 to 2754162

Step 4: Add the Numerators

Add the numerators: 316 + 2754 = 3070

Step 5: Simplify the Fraction

We can simplify 3070162 to its lowest form.
The greatest common divisor (GCD) of 3070 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 153581.

Step 6: Convert to Mixed Number

The fraction 153581 can be written as the mixed number 187781.

Final Answer

The result of 158/81 added to 34/2 is:

15881+342=187781

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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