24/135 added to 17/4 in Fraction Form

The result of 24/135 added to 17/4 is: 4 77/180

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24135 and 174.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 4 is 540.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24135 to 96540
Convert 174 to 2295540

Step 4: Add the Numerators

Add the numerators: 96 + 2295 = 2391

Step 5: Simplify the Fraction

We can simplify 2391540 to its lowest form.
The greatest common divisor (GCD) of 2391 and 540 is 3.
Dividing both numerator and denominator by the GCD, we get 797180.

Step 6: Convert to Mixed Number

The fraction 797180 can be written as the mixed number 477180.

Final Answer

The result of 24/135 added to 17/4 is:

24135+174=477180

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

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