24/15 added to 235/2 in Fraction Form

The result of 24/15 added to 235/2 is: 119 1/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2415 and 2352.

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 2415 to 4830
Convert 2352 to 352530

Step 4: Add the Numerators

Add the numerators: 48 + 3525 = 3573

Step 5: Simplify the Fraction

We can simplify 357330 to its lowest form.
The greatest common divisor (GCD) of 3573 and 30 is 3.
Dividing both numerator and denominator by the GCD, we get 119110.

Step 6: Convert to Mixed Number

The fraction 119110 can be written as the mixed number 119110.

Final Answer

The result of 24/15 added to 235/2 is:

2415+2352=119110

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: