173/94 added to 10/4 in Fraction Form

The result of 173/94 added to 10/4 is: 4 16/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17394 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 94 and 4 is 188.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17394 to 346188
Convert 104 to 470188

Step 4: Add the Numerators

Add the numerators: 346 + 470 = 816

Step 5: Simplify the Fraction

We can simplify 816188 to its lowest form.
The greatest common divisor (GCD) of 816 and 188 is 4.
Dividing both numerator and denominator by the GCD, we get 20447.

Step 6: Convert to Mixed Number

The fraction 20447 can be written as the mixed number 41647.

Final Answer

The result of 173/94 added to 10/4 is:

17394+104=41647

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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