11/67 added to 30/3 in Fraction Form

The result of 11/67 added to 30/3 is: 10 11/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1167 and 303.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 3 is 201.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1167 to 33201
Convert 303 to 2010201

Step 4: Add the Numerators

Add the numerators: 33 + 2010 = 2043

Step 5: Simplify the Fraction

We can simplify 2043201 to its lowest form.
The greatest common divisor (GCD) of 2043 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 68167.

Step 6: Convert to Mixed Number

The fraction 68167 can be written as the mixed number 101167.

Final Answer

The result of 11/67 added to 30/3 is:

1167+303=101167

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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