81/180 added to 21/4 in Fraction Form

The result of 81/180 added to 21/4 is: 5 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81180 and 214.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 180 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81180 to 81180
Convert 214 to 945180

Step 4: Add the Numerators

Add the numerators: 81 + 945 = 1026

Step 5: Simplify the Fraction

We can simplify 1026180 to its lowest form.
The greatest common divisor (GCD) of 1026 and 180 is 18.
Dividing both numerator and denominator by the GCD, we get 5710.

Step 6: Convert to Mixed Number

The fraction 5710 can be written as the mixed number 5710.

Final Answer

The result of 81/180 added to 21/4 is:

81180+214=5710

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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