48/9 added to 207/2 in Fraction Form

The result of 48/9 added to 207/2 is: 108 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 489 and 2072.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 489 to 9618
Convert 2072 to 186318

Step 4: Add the Numerators

Add the numerators: 96 + 1863 = 1959

Step 5: Simplify the Fraction

We can simplify 195918 to its lowest form.
The greatest common divisor (GCD) of 1959 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 6536.

Step 6: Convert to Mixed Number

The fraction 6536 can be written as the mixed number 10856.

Final Answer

The result of 48/9 added to 207/2 is:

489+2072=10856

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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