159/99 added to 48/4 in Fraction Form

The result of 159/99 added to 48/4 is: 13 20/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15999 and 484.

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 15999 to 636396
Convert 484 to 4752396

Step 4: Add the Numerators

Add the numerators: 636 + 4752 = 5388

Step 5: Simplify the Fraction

We can simplify 5388396 to its lowest form.
The greatest common divisor (GCD) of 5388 and 396 is 12.
Dividing both numerator and denominator by the GCD, we get 44933.

Step 6: Convert to Mixed Number

The fraction 44933 can be written as the mixed number 132033.

Final Answer

The result of 159/99 added to 48/4 is:

15999+484=132033

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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