84/146 added to 32/3 in Fraction Form

The result of 84/146 added to 32/3 is: 11 53/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 84146 and 323.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 3 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 84146 to 252438
Convert 323 to 4672438

Step 4: Add the Numerators

Add the numerators: 252 + 4672 = 4924

Step 5: Simplify the Fraction

We can simplify 4924438 to its lowest form.
The greatest common divisor (GCD) of 4924 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 2462219.

Step 6: Convert to Mixed Number

The fraction 2462219 can be written as the mixed number 1153219.

Final Answer

The result of 84/146 added to 32/3 is:

84146+323=1153219

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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