15/158 added to 159/2 in Fraction Form

The result of 15/158 added to 159/2 is: 79 47/79

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15158 and 1592.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 158 and 2 is 158.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15158 to 15158
Convert 1592 to 12561158

Step 4: Add the Numerators

Add the numerators: 15 + 12561 = 12576

Step 5: Simplify the Fraction

We can simplify 12576158 to its lowest form.
The greatest common divisor (GCD) of 12576 and 158 is 2.
Dividing both numerator and denominator by the GCD, we get 628879.

Step 6: Convert to Mixed Number

The fraction 628879 can be written as the mixed number 794779.

Final Answer

The result of 15/158 added to 159/2 is:

15158+1592=794779

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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