135/15 added to 143/2 in Fraction Form

The result of 135/15 added to 143/2 is: 80 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13515 and 1432.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13515 to 27030
Convert 1432 to 214530

Step 4: Add the Numerators

Add the numerators: 270 + 2145 = 2415

Step 5: Simplify the Fraction

We can simplify 241530 to its lowest form.
The greatest common divisor (GCD) of 2415 and 30 is 15.
Dividing both numerator and denominator by the GCD, we get 1612.

Step 6: Convert to Mixed Number

The fraction 1612 can be written as the mixed number 8012.

Final Answer

The result of 135/15 added to 143/2 is:

13515+1432=8012

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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