6/24 added to 25/4 in Fraction Form

The result of 6/24 added to 25/4 is: 6 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 624 and 254.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 4 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 624 to 624
Convert 254 to 15024

Step 4: Add the Numerators

Add the numerators: 6 + 150 = 156

Step 5: Simplify the Fraction

We can simplify 15624 to its lowest form.
The greatest common divisor (GCD) of 156 and 24 is 12.
Dividing both numerator and denominator by the GCD, we get 132.

Step 6: Convert to Mixed Number

The fraction 132 can be written as the mixed number 612.

Final Answer

The result of 6/24 added to 25/4 is:

624+254=612

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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