67/155 added to 68/4 in Fraction Form

The result of 67/155 added to 68/4 is: 17 67/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67155 and 684.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 4 is 620.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67155 to 268620
Convert 684 to 10540620

Step 4: Add the Numerators

Add the numerators: 268 + 10540 = 10808

Step 5: Simplify the Fraction

We can simplify 10808620 to its lowest form.
The greatest common divisor (GCD) of 10808 and 620 is 4.
Dividing both numerator and denominator by the GCD, we get 2702155.

Step 6: Convert to Mixed Number

The fraction 2702155 can be written as the mixed number 1767155.

Final Answer

The result of 67/155 added to 68/4 is:

67155+684=1767155

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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