67/159 added to 54/6 in Fraction Form

The result of 67/159 added to 54/6 is: 9 67/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67159 and 546.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 6 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67159 to 134318
Convert 546 to 2862318

Step 4: Add the Numerators

Add the numerators: 134 + 2862 = 2996

Step 5: Simplify the Fraction

We can simplify 2996318 to its lowest form.
The greatest common divisor (GCD) of 2996 and 318 is 2.
Dividing both numerator and denominator by the GCD, we get 1498159.

Step 6: Convert to Mixed Number

The fraction 1498159 can be written as the mixed number 967159.

Final Answer

The result of 67/159 added to 54/6 is:

67159+546=967159

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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