24/81 added to 21/4 in Fraction Form

The result of 24/81 added to 21/4 is: 5 59/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2481 and 214.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2481 to 96324
Convert 214 to 1701324

Step 4: Add the Numerators

Add the numerators: 96 + 1701 = 1797

Step 5: Simplify the Fraction

We can simplify 1797324 to its lowest form.
The greatest common divisor (GCD) of 1797 and 324 is 3.
Dividing both numerator and denominator by the GCD, we get 599108.

Step 6: Convert to Mixed Number

The fraction 599108 can be written as the mixed number 559108.

Final Answer

The result of 24/81 added to 21/4 is:

2481+214=559108

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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