14/24 added to 39/3 in Fraction Form

The result of 14/24 added to 39/3 is: 13 7/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1424 and 393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1424 to 1424
Convert 393 to 31224

Step 4: Add the Numerators

Add the numerators: 14 + 312 = 326

Step 5: Simplify the Fraction

We can simplify 32624 to its lowest form.
The greatest common divisor (GCD) of 326 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 16312.

Step 6: Convert to Mixed Number

The fraction 16312 can be written as the mixed number 13712.

Final Answer

The result of 14/24 added to 39/3 is:

1424+393=13712

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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