118/74 added to 17/3 in Fraction Form

The result of 118/74 added to 17/3 is: 7 29/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11874 and 173.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11874 to 354222
Convert 173 to 1258222

Step 4: Add the Numerators

Add the numerators: 354 + 1258 = 1612

Step 5: Simplify the Fraction

We can simplify 1612222 to its lowest form.
The greatest common divisor (GCD) of 1612 and 222 is 2.
Dividing both numerator and denominator by the GCD, we get 806111.

Step 6: Convert to Mixed Number

The fraction 806111 can be written as the mixed number 729111.

Final Answer

The result of 118/74 added to 17/3 is:

11874+173=729111

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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