14/99 added to 168/4 in Fraction Form

The result of 14/99 added to 168/4 is: 42 14/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1499 and 1684.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1499 to 56396
Convert 1684 to 16632396

Step 4: Add the Numerators

Add the numerators: 56 + 16632 = 16688

Step 5: Simplify the Fraction

We can simplify 16688396 to its lowest form.
The greatest common divisor (GCD) of 16688 and 396 is 4.
Dividing both numerator and denominator by the GCD, we get 417299.

Step 6: Convert to Mixed Number

The fraction 417299 can be written as the mixed number 421499.

Final Answer

The result of 14/99 added to 168/4 is:

1499+1684=421499

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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