158/26 added to 30/2 in Fraction Form

The result of 158/26 added to 30/2 is: 21 1/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15826 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15826 to 15826
Convert 302 to 39026

Step 4: Add the Numerators

Add the numerators: 158 + 390 = 548

Step 5: Simplify the Fraction

We can simplify 54826 to its lowest form.
The greatest common divisor (GCD) of 548 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 27413.

Step 6: Convert to Mixed Number

The fraction 27413 can be written as the mixed number 21113.

Final Answer

The result of 158/26 added to 30/2 is:

15826+302=21113

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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