39/10 added to 180/3 in Fraction Form

The result of 39/10 added to 180/3 is: 63 9/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3910 and 1803.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 3 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3910 to 11730
Convert 1803 to 180030

Step 4: Add the Numerators

Add the numerators: 117 + 1800 = 1917

Step 5: Simplify the Fraction

We can simplify 191730 to its lowest form.
The greatest common divisor (GCD) of 1917 and 30 is 3.
Dividing both numerator and denominator by the GCD, we get 63910.

Step 6: Convert to Mixed Number

The fraction 63910 can be written as the mixed number 63910.

Final Answer

The result of 39/10 added to 180/3 is:

3910+1803=63910

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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