140/15 added to 101/2 in Fraction Form

The result of 140/15 added to 101/2 is: 59 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14015 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14015 to 28030
Convert 1012 to 151530

Step 4: Add the Numerators

Add the numerators: 280 + 1515 = 1795

Step 5: Simplify the Fraction

We can simplify 179530 to its lowest form.
The greatest common divisor (GCD) of 1795 and 30 is 5.
Dividing both numerator and denominator by the GCD, we get 3596.

Step 6: Convert to Mixed Number

The fraction 3596 can be written as the mixed number 5956.

Final Answer

The result of 140/15 added to 101/2 is:

14015+1012=5956

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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