27/12 added to 182/4 in Fraction Form

The result of 27/12 added to 182/4 is: 47 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2712 and 1824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 4 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2712 to 2712
Convert 1824 to 54612

Step 4: Add the Numerators

Add the numerators: 27 + 546 = 573

Step 5: Simplify the Fraction

We can simplify 57312 to its lowest form.
The greatest common divisor (GCD) of 573 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get 1914.

Step 6: Convert to Mixed Number

The fraction 1914 can be written as the mixed number 4734.

Final Answer

The result of 27/12 added to 182/4 is:

2712+1824=4734

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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