67/151 added to 40/4 in Fraction Form

The result of 67/151 added to 40/4 is: 10 67/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67151 and 404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 4 is 604.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67151 to 268604
Convert 404 to 6040604

Step 4: Add the Numerators

Add the numerators: 268 + 6040 = 6308

Step 5: Simplify the Fraction

We can simplify 6308604 to its lowest form.
The greatest common divisor (GCD) of 6308 and 604 is 4.
Dividing both numerator and denominator by the GCD, we get 1577151.

Step 6: Convert to Mixed Number

The fraction 1577151 can be written as the mixed number 1067151.

Final Answer

The result of 67/151 added to 40/4 is:

67151+404=1067151

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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