67/131 added to 140/4 in Fraction Form

The result of 67/131 added to 140/4 is: 35 67/131

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67131 and 1404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 131 and 4 is 524.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67131 to 268524
Convert 1404 to 18340524

Step 4: Add the Numerators

Add the numerators: 268 + 18340 = 18608

Step 5: Simplify the Fraction

We can simplify 18608524 to its lowest form.
The greatest common divisor (GCD) of 18608 and 524 is 4.
Dividing both numerator and denominator by the GCD, we get 4652131.

Step 6: Convert to Mixed Number

The fraction 4652131 can be written as the mixed number 3567131.

Final Answer

The result of 67/131 added to 140/4 is:

67131+1404=3567131

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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