47/235 added to 13/2 in Fraction Form

The result of 47/235 added to 13/2 is: 6 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 47235 and 132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 2 is 470.

Step 3: Convert Fractions to Equivalent Fractions

Convert 47235 to 94470
Convert 132 to 3055470

Step 4: Add the Numerators

Add the numerators: 94 + 3055 = 3149

Step 5: Simplify the Fraction

We can simplify 3149470 to its lowest form.
The greatest common divisor (GCD) of 3149 and 470 is 47.
Dividing both numerator and denominator by the GCD, we get 6710.

Step 6: Convert to Mixed Number

The fraction 6710 can be written as the mixed number 6710.

Final Answer

The result of 47/235 added to 13/2 is:

47235+132=6710

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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