153/67 added to 15/3 in Fraction Form

The result of 153/67 added to 15/3 is: 7 19/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15367 and 153.

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 15367 to 459201
Convert 153 to 1005201

Step 4: Add the Numerators

Add the numerators: 459 + 1005 = 1464

Step 5: Simplify the Fraction

We can simplify 1464201 to its lowest form.
The greatest common divisor (GCD) of 1464 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 48867.

Step 6: Convert to Mixed Number

The fraction 48867 can be written as the mixed number 71967.

Final Answer

The result of 153/67 added to 15/3 is:

15367+153=71967

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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