39/260 added to 7/2 in Fraction Form

The result of 39/260 added to 7/2 is: 3 13/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39260 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 260 and 2 is 260.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39260 to 39260
Convert 72 to 910260

Step 4: Add the Numerators

Add the numerators: 39 + 910 = 949

Step 5: Simplify the Fraction

We can simplify 949260 to its lowest form.
The greatest common divisor (GCD) of 949 and 260 is 13.
Dividing both numerator and denominator by the GCD, we get 7320.

Step 6: Convert to Mixed Number

The fraction 7320 can be written as the mixed number 31320.

Final Answer

The result of 39/260 added to 7/2 is:

39260+72=31320

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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