32/182 added to 53/3 in Fraction Form

The result of 32/182 added to 53/3 is: 17 230/273

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32182 and 533.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 3 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32182 to 96546
Convert 533 to 9646546

Step 4: Add the Numerators

Add the numerators: 96 + 9646 = 9742

Step 5: Simplify the Fraction

We can simplify 9742546 to its lowest form.
The greatest common divisor (GCD) of 9742 and 546 is 2.
Dividing both numerator and denominator by the GCD, we get 4871273.

Step 6: Convert to Mixed Number

The fraction 4871273 can be written as the mixed number 17230273.

Final Answer

The result of 32/182 added to 53/3 is:

32182+533=17230273

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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