153/81 added to 104/4 in Fraction Form

The result of 153/81 added to 104/4 is: 27 8/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15381 and 1044.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15381 to 612324
Convert 1044 to 8424324

Step 4: Add the Numerators

Add the numerators: 612 + 8424 = 9036

Step 5: Simplify the Fraction

We can simplify 9036324 to its lowest form.
The greatest common divisor (GCD) of 9036 and 324 is 36.
Dividing both numerator and denominator by the GCD, we get 2519.

Step 6: Convert to Mixed Number

The fraction 2519 can be written as the mixed number 2789.

Final Answer

The result of 153/81 added to 104/4 is:

15381+1044=2789

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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