5/142 added to 151/2 in Fraction Form

The result of 5/142 added to 151/2 is: 75 38/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5142 and 1512.

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 5142 to 5142
Convert 1512 to 10721142

Step 4: Add the Numerators

Add the numerators: 5 + 10721 = 10726

Step 5: Simplify the Fraction

We can simplify 10726142 to its lowest form.
The greatest common divisor (GCD) of 10726 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 536371.

Step 6: Convert to Mixed Number

The fraction 536371 can be written as the mixed number 753871.

Final Answer

The result of 5/142 added to 151/2 is:

5142+1512=753871

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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