10/83 added to 54/4 in Fraction Form

The result of 10/83 added to 54/4 is: 13 103/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1083 and 544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1083 to 40332
Convert 544 to 4482332

Step 4: Add the Numerators

Add the numerators: 40 + 4482 = 4522

Step 5: Simplify the Fraction

We can simplify 4522332 to its lowest form.
The greatest common divisor (GCD) of 4522 and 332 is 2.
Dividing both numerator and denominator by the GCD, we get 2261166.

Step 6: Convert to Mixed Number

The fraction 2261166 can be written as the mixed number 13103166.

Final Answer

The result of 10/83 added to 54/4 is:

1083+544=13103166

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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