10/39 added to 143/3 in Fraction Form

The result of 10/39 added to 143/3 is: 47 12/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1039 and 1433.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1039 to 1039
Convert 1433 to 185939

Step 4: Add the Numerators

Add the numerators: 10 + 1859 = 1869

Step 5: Simplify the Fraction

We can simplify 186939 to its lowest form.
The greatest common divisor (GCD) of 1869 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 62313.

Step 6: Convert to Mixed Number

The fraction 62313 can be written as the mixed number 471213.

Final Answer

The result of 10/39 added to 143/3 is:

1039+1433=471213

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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