184/10 added to 74/4 in Fraction Form

The result of 184/10 added to 74/4 is: 36 9/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18410 and 744.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 4 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18410 to 36820
Convert 744 to 37020

Step 4: Add the Numerators

Add the numerators: 368 + 370 = 738

Step 5: Simplify the Fraction

We can simplify 73820 to its lowest form.
The greatest common divisor (GCD) of 738 and 20 is 2.
Dividing both numerator and denominator by the GCD, we get 36910.

Step 6: Convert to Mixed Number

The fraction 36910 can be written as the mixed number 36910.

Final Answer

The result of 184/10 added to 74/4 is:

18410+744=36910

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).

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