213/40 added to 27/6 in Fraction Form

The result of 213/40 added to 27/6 is: 9 33/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21340 and 276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 6 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21340 to 639120
Convert 276 to 540120

Step 4: Add the Numerators

Add the numerators: 639 + 540 = 1179

Step 5: Simplify the Fraction

We can simplify 1179120 to its lowest form.
The greatest common divisor (GCD) of 1179 and 120 is 3.
Dividing both numerator and denominator by the GCD, we get 39340.

Step 6: Convert to Mixed Number

The fraction 39340 can be written as the mixed number 93340.

Final Answer

The result of 213/40 added to 27/6 is:

21340+276=93340

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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