24/155 added to 10/2 in Fraction Form

The result of 24/155 added to 10/2 is: 5 24/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24155 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 2 is 310.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24155 to 48310
Convert 102 to 1550310

Step 4: Add the Numerators

Add the numerators: 48 + 1550 = 1598

Step 5: Simplify the Fraction

We can simplify 1598310 to its lowest form.
The greatest common divisor (GCD) of 1598 and 310 is 2.
Dividing both numerator and denominator by the GCD, we get 799155.

Step 6: Convert to Mixed Number

The fraction 799155 can be written as the mixed number 524155.

Final Answer

The result of 24/155 added to 10/2 is:

24155+102=524155

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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