153/142 added to 17/2 in Fraction Form

The result of 153/142 added to 17/2 is: 9 41/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 153142 and 172.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 2 is 142.

Step 3: Convert Fractions to Equivalent Fractions

Convert 153142 to 153142
Convert 172 to 1207142

Step 4: Add the Numerators

Add the numerators: 153 + 1207 = 1360

Step 5: Simplify the Fraction

We can simplify 1360142 to its lowest form.
The greatest common divisor (GCD) of 1360 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 68071.

Step 6: Convert to Mixed Number

The fraction 68071 can be written as the mixed number 94171.

Final Answer

The result of 153/142 added to 17/2 is:

153142+172=94171

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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