159/47 added to 6/2 in Fraction Form

The result of 159/47 added to 6/2 is: 6 18/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15947 and 62.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 2 is 94.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15947 to 31894
Convert 62 to 28294

Step 4: Add the Numerators

Add the numerators: 318 + 282 = 600

Step 5: Simplify the Fraction

We can simplify 60094 to its lowest form.
The greatest common divisor (GCD) of 600 and 94 is 2.
Dividing both numerator and denominator by the GCD, we get 30047.

Step 6: Convert to Mixed Number

The fraction 30047 can be written as the mixed number 61847.

Final Answer

The result of 159/47 added to 6/2 is:

15947+62=61847

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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