39/164 added to 57/3 in Fraction Form

The result of 39/164 added to 57/3 is: 19 39/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39164 and 573.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39164 to 117492
Convert 573 to 9348492

Step 4: Add the Numerators

Add the numerators: 117 + 9348 = 9465

Step 5: Simplify the Fraction

We can simplify 9465492 to its lowest form.
The greatest common divisor (GCD) of 9465 and 492 is 3.
Dividing both numerator and denominator by the GCD, we get 3155164.

Step 6: Convert to Mixed Number

The fraction 3155164 can be written as the mixed number 1939164.

Final Answer

The result of 39/164 added to 57/3 is:

39164+573=1939164

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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