64/159 added to 74/2 in Fraction Form

The result of 64/159 added to 74/2 is: 37 64/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64159 and 742.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 2 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64159 to 128318
Convert 742 to 11766318

Step 4: Add the Numerators

Add the numerators: 128 + 11766 = 11894

Step 5: Simplify the Fraction

We can simplify 11894318 to its lowest form.
The greatest common divisor (GCD) of 11894 and 318 is 2.
Dividing both numerator and denominator by the GCD, we get 5947159.

Step 6: Convert to Mixed Number

The fraction 5947159 can be written as the mixed number 3764159.

Final Answer

The result of 64/159 added to 74/2 is:

64159+742=3764159

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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