24/135 added to 17/2 in Fraction Form

The result of 24/135 added to 17/2 is: 8 61/90

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24135 and 172.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 2 is 270.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24135 to 48270
Convert 172 to 2295270

Step 4: Add the Numerators

Add the numerators: 48 + 2295 = 2343

Step 5: Simplify the Fraction

We can simplify 2343270 to its lowest form.
The greatest common divisor (GCD) of 2343 and 270 is 3.
Dividing both numerator and denominator by the GCD, we get 78190.

Step 6: Convert to Mixed Number

The fraction 78190 can be written as the mixed number 86190.

Final Answer

The result of 24/135 added to 17/2 is:

24135+172=86190

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).

Fraction Calculator

Calculate operations between any two fractions: