11/67 added to 30/6 in Fraction Form

The result of 11/67 added to 30/6 is: 5 11/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1167 and 306.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 6 is 402.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1167 to 66402
Convert 306 to 2010402

Step 4: Add the Numerators

Add the numerators: 66 + 2010 = 2076

Step 5: Simplify the Fraction

We can simplify 2076402 to its lowest form.
The greatest common divisor (GCD) of 2076 and 402 is 6.
Dividing both numerator and denominator by the GCD, we get 34667.

Step 6: Convert to Mixed Number

The fraction 34667 can be written as the mixed number 51167.

Final Answer

The result of 11/67 added to 30/6 is:

1167+306=51167

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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