15/159 added to 76/4 in Fraction Form

The result of 15/159 added to 76/4 is: 19 5/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15159 and 764.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 4 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15159 to 60636
Convert 764 to 12084636

Step 4: Add the Numerators

Add the numerators: 60 + 12084 = 12144

Step 5: Simplify the Fraction

We can simplify 12144636 to its lowest form.
The greatest common divisor (GCD) of 12144 and 636 is 12.
Dividing both numerator and denominator by the GCD, we get 101253.

Step 6: Convert to Mixed Number

The fraction 101253 can be written as the mixed number 19553.

Final Answer

The result of 15/159 added to 76/4 is:

15159+764=19553

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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