12/168 added to 101/4 in Fraction Form

The result of 12/168 added to 101/4 is: 25 9/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12168 and 1014.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 4 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12168 to 12168
Convert 1014 to 4242168

Step 4: Add the Numerators

Add the numerators: 12 + 4242 = 4254

Step 5: Simplify the Fraction

We can simplify 4254168 to its lowest form.
The greatest common divisor (GCD) of 4254 and 168 is 6.
Dividing both numerator and denominator by the GCD, we get 70928.

Step 6: Convert to Mixed Number

The fraction 70928 can be written as the mixed number 25928.

Final Answer

The result of 12/168 added to 101/4 is:

12168+1014=25928

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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