15/82 added to 54/4 in Fraction Form

The result of 15/82 added to 54/4 is: 13 28/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1582 and 544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1582 to 30164
Convert 544 to 2214164

Step 4: Add the Numerators

Add the numerators: 30 + 2214 = 2244

Step 5: Simplify the Fraction

We can simplify 2244164 to its lowest form.
The greatest common divisor (GCD) of 2244 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 56141.

Step 6: Convert to Mixed Number

The fraction 56141 can be written as the mixed number 132841.

Final Answer

The result of 15/82 added to 54/4 is:

1582+544=132841

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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