39/32 added to 168/3 in Fraction Form

The result of 39/32 added to 168/3 is: 57 7/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3932 and 1683.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 3 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3932 to 11796
Convert 1683 to 537696

Step 4: Add the Numerators

Add the numerators: 117 + 5376 = 5493

Step 5: Simplify the Fraction

We can simplify 549396 to its lowest form.
The greatest common divisor (GCD) of 5493 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get 183132.

Step 6: Convert to Mixed Number

The fraction 183132 can be written as the mixed number 57732.

Final Answer

The result of 39/32 added to 168/3 is:

3932+1683=57732

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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