15/24 added to 78/6 in Fraction Form

The result of 15/24 added to 78/6 is: 13 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1524 and 786.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 6 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1524 to 1524
Convert 786 to 31224

Step 4: Add the Numerators

Add the numerators: 15 + 312 = 327

Step 5: Simplify the Fraction

We can simplify 32724 to its lowest form.
The greatest common divisor (GCD) of 327 and 24 is 3.
Dividing both numerator and denominator by the GCD, we get 1098.

Step 6: Convert to Mixed Number

The fraction 1098 can be written as the mixed number 1358.

Final Answer

The result of 15/24 added to 78/6 is:

1524+786=1358

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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