66/155 added to 74/4 in Fraction Form

The result of 66/155 added to 74/4 is: 18 287/310

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 66155 and 744.

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 66155 to 264620
Convert 744 to 11470620

Step 4: Add the Numerators

Add the numerators: 264 + 11470 = 11734

Step 5: Simplify the Fraction

We can simplify 11734620 to its lowest form.
The greatest common divisor (GCD) of 11734 and 620 is 2.
Dividing both numerator and denominator by the GCD, we get 5867310.

Step 6: Convert to Mixed Number

The fraction 5867310 can be written as the mixed number 18287310.

Final Answer

The result of 66/155 added to 74/4 is:

66155+744=18287310

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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