24/129 added to 81/4 in Fraction Form

The result of 24/129 added to 81/4 is: 20 75/172

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24129 and 814.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 129 and 4 is 516.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24129 to 96516
Convert 814 to 10449516

Step 4: Add the Numerators

Add the numerators: 96 + 10449 = 10545

Step 5: Simplify the Fraction

We can simplify 10545516 to its lowest form.
The greatest common divisor (GCD) of 10545 and 516 is 3.
Dividing both numerator and denominator by the GCD, we get 3515172.

Step 6: Convert to Mixed Number

The fraction 3515172 can be written as the mixed number 2075172.

Final Answer

The result of 24/129 added to 81/4 is:

24129+814=2075172

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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