69/234 added to 3/4 in Fraction Form

The result of 69/234 added to 3/4 is: 1 7/156

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69234 and 34.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 234 and 4 is 468.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69234 to 138468
Convert 34 to 351468

Step 4: Add the Numerators

Add the numerators: 138 + 351 = 489

Step 5: Simplify the Fraction

We can simplify 489468 to its lowest form.
The greatest common divisor (GCD) of 489 and 468 is 3.
Dividing both numerator and denominator by the GCD, we get 163156.

Step 6: Convert to Mixed Number

The fraction 163156 can be written as the mixed number 17156.

Final Answer

The result of 69/234 added to 3/4 is:

69234+34=17156

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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