12/18 subtracted by 5/2 in Fraction Form

The result of 12/18 subtracted by 5/2 is: -2 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 52 from 1218.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 18 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1218 to 1218
Convert 52 to 4518

Step 4: Subtract the Numerators

Subtract the numerators: 12 - 45 = -33

Step 5: Simplify the Fraction

We can simplify 3318 to its lowest form.
The greatest common divisor (GCD) of -33 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 116.

Step 6: Convert to Mixed Number

The fraction 116 can be written as the mixed number 216.

Final Answer

The result of 12/18 subtracted by 5/2 is:

121852=216

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

abcd=adbcbd (when denominators are different)

Or simply abcb=acb (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).

Fraction Calculator

Calculate operations between any two fractions: