102/143 added to 82/4 in Fraction Form

The result of 102/143 added to 82/4 is: 21 61/286

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102143 and 824.

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 102143 to 408572
Convert 824 to 11726572

Step 4: Add the Numerators

Add the numerators: 408 + 11726 = 12134

Step 5: Simplify the Fraction

We can simplify 12134572 to its lowest form.
The greatest common divisor (GCD) of 12134 and 572 is 2.
Dividing both numerator and denominator by the GCD, we get 6067286.

Step 6: Convert to Mixed Number

The fraction 6067286 can be written as the mixed number 2161286.

Final Answer

The result of 102/143 added to 82/4 is:

102143+824=2161286

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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