6/40 added to 102/3 in Fraction Form

The result of 6/40 added to 102/3 is: 34 3/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 640 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 3 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 640 to 18120
Convert 1023 to 4080120

Step 4: Add the Numerators

Add the numerators: 18 + 4080 = 4098

Step 5: Simplify the Fraction

We can simplify 4098120 to its lowest form.
The greatest common divisor (GCD) of 4098 and 120 is 6.
Dividing both numerator and denominator by the GCD, we get 68320.

Step 6: Convert to Mixed Number

The fraction 68320 can be written as the mixed number 34320.

Final Answer

The result of 6/40 added to 102/3 is:

640+1023=34320

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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