24/73 added to 164/6 in Fraction Form

The result of 24/73 added to 164/6 is: 27 145/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2473 and 1646.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 6 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2473 to 144438
Convert 1646 to 11972438

Step 4: Add the Numerators

Add the numerators: 144 + 11972 = 12116

Step 5: Simplify the Fraction

We can simplify 12116438 to its lowest form.
The greatest common divisor (GCD) of 12116 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 6058219.

Step 6: Convert to Mixed Number

The fraction 6058219 can be written as the mixed number 27145219.

Final Answer

The result of 24/73 added to 164/6 is:

2473+1646=27145219

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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