67/44 added to 23/4 in Fraction Form

The result of 67/44 added to 23/4 is: 7 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6744 and 234.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 6744 to 6744
Convert 234 to 25344

Step 4: Add the Numerators

Add the numerators: 67 + 253 = 320

Step 5: Simplify the Fraction

We can simplify 32044 to its lowest form.
The greatest common divisor (GCD) of 320 and 44 is 4.
Dividing both numerator and denominator by the GCD, we get 8011.

Step 6: Convert to Mixed Number

The fraction 8011 can be written as the mixed number 7311.

Final Answer

The result of 67/44 added to 23/4 is:

6744+234=7311

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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