15/59 added to 8/6 in Fraction Form

The result of 15/59 added to 8/6 is: 1 104/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1559 and 86.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 6 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1559 to 90354
Convert 86 to 472354

Step 4: Add the Numerators

Add the numerators: 90 + 472 = 562

Step 5: Simplify the Fraction

We can simplify 562354 to its lowest form.
The greatest common divisor (GCD) of 562 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 281177.

Step 6: Convert to Mixed Number

The fraction 281177 can be written as the mixed number 1104177.

Final Answer

The result of 15/59 added to 8/6 is:

1559+86=1104177

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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