39/9 added to 159/4 in Fraction Form

The result of 39/9 added to 159/4 is: 44 1/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 399 and 1594.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 399 to 15636
Convert 1594 to 143136

Step 4: Add the Numerators

Add the numerators: 156 + 1431 = 1587

Step 5: Simplify the Fraction

We can simplify 158736 to its lowest form.
The greatest common divisor (GCD) of 1587 and 36 is 3.
Dividing both numerator and denominator by the GCD, we get 52912.

Step 6: Convert to Mixed Number

The fraction 52912 can be written as the mixed number 44112.

Final Answer

The result of 39/9 added to 159/4 is:

399+1594=44112

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).

Fraction Calculator

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