39/57 added to 9/2 in Fraction Form

The result of 39/57 added to 9/2 is: 5 7/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3957 and 92.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 2 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3957 to 78114
Convert 92 to 513114

Step 4: Add the Numerators

Add the numerators: 78 + 513 = 591

Step 5: Simplify the Fraction

We can simplify 591114 to its lowest form.
The greatest common divisor (GCD) of 591 and 114 is 3.
Dividing both numerator and denominator by the GCD, we get 19738.

Step 6: Convert to Mixed Number

The fraction 19738 can be written as the mixed number 5738.

Final Answer

The result of 39/57 added to 9/2 is:

3957+92=5738

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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