15/153 added to 59/4 in Fraction Form

The result of 15/153 added to 59/4 is: 14 173/204

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15153 and 594.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 153 and 4 is 612.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15153 to 60612
Convert 594 to 9027612

Step 4: Add the Numerators

Add the numerators: 60 + 9027 = 9087

Step 5: Simplify the Fraction

We can simplify 9087612 to its lowest form.
The greatest common divisor (GCD) of 9087 and 612 is 3.
Dividing both numerator and denominator by the GCD, we get 3029204.

Step 6: Convert to Mixed Number

The fraction 3029204 can be written as the mixed number 14173204.

Final Answer

The result of 15/153 added to 59/4 is:

15153+594=14173204

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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