32/237 added to 13/3 in Fraction Form

The result of 32/237 added to 13/3 is: 4 37/79

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32237 and 133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 3 is 237.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32237 to 32237
Convert 133 to 1027237

Step 4: Add the Numerators

Add the numerators: 32 + 1027 = 1059

Step 5: Simplify the Fraction

We can simplify 1059237 to its lowest form.
The greatest common divisor (GCD) of 1059 and 237 is 3.
Dividing both numerator and denominator by the GCD, we get 35379.

Step 6: Convert to Mixed Number

The fraction 35379 can be written as the mixed number 43779.

Final Answer

The result of 32/237 added to 13/3 is:

32237+133=43779

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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