15/117 added to 185/4 in Fraction Form

The result of 15/117 added to 185/4 is: 46 59/156

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15117 and 1854.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 117 and 4 is 468.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15117 to 60468
Convert 1854 to 21645468

Step 4: Add the Numerators

Add the numerators: 60 + 21645 = 21705

Step 5: Simplify the Fraction

We can simplify 21705468 to its lowest form.
The greatest common divisor (GCD) of 21705 and 468 is 3.
Dividing both numerator and denominator by the GCD, we get 7235156.

Step 6: Convert to Mixed Number

The fraction 7235156 can be written as the mixed number 4659156.

Final Answer

The result of 15/117 added to 185/4 is:

15117+1854=4659156

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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