67/65 added to 140/4 in Fraction Form

The result of 67/65 added to 140/4 is: 36 2/65

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6765 and 1404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 65 and 4 is 260.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6765 to 268260
Convert 1404 to 9100260

Step 4: Add the Numerators

Add the numerators: 268 + 9100 = 9368

Step 5: Simplify the Fraction

We can simplify 9368260 to its lowest form.
The greatest common divisor (GCD) of 9368 and 260 is 4.
Dividing both numerator and denominator by the GCD, we get 234265.

Step 6: Convert to Mixed Number

The fraction 234265 can be written as the mixed number 36265.

Final Answer

The result of 67/65 added to 140/4 is:

6765+1404=36265

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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