17/67 added to 153/3 in Fraction Form

The result of 17/67 added to 153/3 is: 51 17/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1767 and 1533.

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 1767 to 51201
Convert 1533 to 10251201

Step 4: Add the Numerators

Add the numerators: 51 + 10251 = 10302

Step 5: Simplify the Fraction

We can simplify 10302201 to its lowest form.
The greatest common divisor (GCD) of 10302 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 343467.

Step 6: Convert to Mixed Number

The fraction 343467 can be written as the mixed number 511767.

Final Answer

The result of 17/67 added to 153/3 is:

1767+1533=511767

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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