66/11 added to 23/4 in Fraction Form

The result of 66/11 added to 23/4 is: 11 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6611 and 234.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6611 to 26444
Convert 234 to 25344

Step 4: Add the Numerators

Add the numerators: 264 + 253 = 517

Step 5: Simplify the Fraction

We can simplify 51744 to its lowest form.
The greatest common divisor (GCD) of 517 and 44 is 11.
Dividing both numerator and denominator by the GCD, we get 474.

Step 6: Convert to Mixed Number

The fraction 474 can be written as the mixed number 1134.

Final Answer

The result of 66/11 added to 23/4 is:

6611+234=1134

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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