81/210 added to 33/2 in Fraction Form

The result of 81/210 added to 33/2 is: 16 31/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81210 and 332.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 2 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81210 to 81210
Convert 332 to 3465210

Step 4: Add the Numerators

Add the numerators: 81 + 3465 = 3546

Step 5: Simplify the Fraction

We can simplify 3546210 to its lowest form.
The greatest common divisor (GCD) of 3546 and 210 is 6.
Dividing both numerator and denominator by the GCD, we get 59135.

Step 6: Convert to Mixed Number

The fraction 59135 can be written as the mixed number 163135.

Final Answer

The result of 81/210 added to 33/2 is:

81210+332=163135

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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