27/143 added to 118/4 in Fraction Form

The result of 27/143 added to 118/4 is: 29 197/286

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27143 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 143 and 4 is 572.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27143 to 108572
Convert 1184 to 16874572

Step 4: Add the Numerators

Add the numerators: 108 + 16874 = 16982

Step 5: Simplify the Fraction

We can simplify 16982572 to its lowest form.
The greatest common divisor (GCD) of 16982 and 572 is 2.
Dividing both numerator and denominator by the GCD, we get 8491286.

Step 6: Convert to Mixed Number

The fraction 8491286 can be written as the mixed number 29197286.

Final Answer

The result of 27/143 added to 118/4 is:

27143+1184=29197286

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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