24/135 added to 71/3 in Fraction Form

The result of 24/135 added to 71/3 is: 23 38/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24135 and 713.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 3 is 135.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24135 to 24135
Convert 713 to 3195135

Step 4: Add the Numerators

Add the numerators: 24 + 3195 = 3219

Step 5: Simplify the Fraction

We can simplify 3219135 to its lowest form.
The greatest common divisor (GCD) of 3219 and 135 is 3.
Dividing both numerator and denominator by the GCD, we get 107345.

Step 6: Convert to Mixed Number

The fraction 107345 can be written as the mixed number 233845.

Final Answer

The result of 24/135 added to 71/3 is:

24135+713=233845

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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