202/64 added to 27/3 in Fraction Form

The result of 202/64 added to 27/3 is: 12 5/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20264 and 273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 64 and 3 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20264 to 606192
Convert 273 to 1728192

Step 4: Add the Numerators

Add the numerators: 606 + 1728 = 2334

Step 5: Simplify the Fraction

We can simplify 2334192 to its lowest form.
The greatest common divisor (GCD) of 2334 and 192 is 6.
Dividing both numerator and denominator by the GCD, we get 38932.

Step 6: Convert to Mixed Number

The fraction 38932 can be written as the mixed number 12532.

Final Answer

The result of 202/64 added to 27/3 is:

20264+273=12532

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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