202/32 added to 66/2 in Fraction Form

The result of 202/32 added to 66/2 is: 39 5/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20232 and 662.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 2 is 32.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20232 to 20232
Convert 662 to 105632

Step 4: Add the Numerators

Add the numerators: 202 + 1056 = 1258

Step 5: Simplify the Fraction

We can simplify 125832 to its lowest form.
The greatest common divisor (GCD) of 1258 and 32 is 2.
Dividing both numerator and denominator by the GCD, we get 62916.

Step 6: Convert to Mixed Number

The fraction 62916 can be written as the mixed number 39516.

Final Answer

The result of 202/32 added to 66/2 is:

20232+662=39516

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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