15/87 added to 185/4 in Fraction Form

The result of 15/87 added to 185/4 is: 46 49/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1587 and 1854.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 4 is 348.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1587 to 60348
Convert 1854 to 16095348

Step 4: Add the Numerators

Add the numerators: 60 + 16095 = 16155

Step 5: Simplify the Fraction

We can simplify 16155348 to its lowest form.
The greatest common divisor (GCD) of 16155 and 348 is 3.
Dividing both numerator and denominator by the GCD, we get 5385116.

Step 6: Convert to Mixed Number

The fraction 5385116 can be written as the mixed number 4649116.

Final Answer

The result of 15/87 added to 185/4 is:

1587+1854=4649116

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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