15/19 subtracted by 22/2 in Fraction Form

The result of 15/19 subtracted by 22/2 is: -11 15/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 222 from 1519.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 19 and 2 is 38.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1519 to 3038
Convert 222 to 41838

Step 4: Subtract the Numerators

Subtract the numerators: 30 - 418 = -388

Step 5: Simplify the Fraction

We can simplify 38838 to its lowest form.
The greatest common divisor (GCD) of -388 and 38 is 2.
Dividing both numerator and denominator by the GCD, we get 19419.

Step 6: Convert to Mixed Number

The fraction 19419 can be written as the mixed number 111519.

Final Answer

The result of 15/19 subtracted by 22/2 is:

1519222=111519

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).

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