69/214 added to 24/3 in Fraction Form

The result of 69/214 added to 24/3 is: 8 69/214

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69214 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 3 is 642.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69214 to 207642
Convert 243 to 5136642

Step 4: Add the Numerators

Add the numerators: 207 + 5136 = 5343

Step 5: Simplify the Fraction

We can simplify 5343642 to its lowest form.
The greatest common divisor (GCD) of 5343 and 642 is 3.
Dividing both numerator and denominator by the GCD, we get 1781214.

Step 6: Convert to Mixed Number

The fraction 1781214 can be written as the mixed number 869214.

Final Answer

The result of 69/214 added to 24/3 is:

69214+243=869214

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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