38/72 added to 140/2 in Fraction Form

The result of 38/72 added to 140/2 is: 70 19/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3872 and 1402.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 2 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3872 to 3872
Convert 1402 to 504072

Step 4: Add the Numerators

Add the numerators: 38 + 5040 = 5078

Step 5: Simplify the Fraction

We can simplify 507872 to its lowest form.
The greatest common divisor (GCD) of 5078 and 72 is 2.
Dividing both numerator and denominator by the GCD, we get 253936.

Step 6: Convert to Mixed Number

The fraction 253936 can be written as the mixed number 701936.

Final Answer

The result of 38/72 added to 140/2 is:

3872+1402=701936

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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