38/15 subtracted by 12/2 in Fraction Form

The result of 38/15 subtracted by 12/2 is: -4 8/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 122 from 3815.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 3815 to 7630
Convert 122 to 18030

Step 4: Subtract the Numerators

Subtract the numerators: 76 - 180 = -104

Step 5: Simplify the Fraction

We can simplify 10430 to its lowest form.
The greatest common divisor (GCD) of -104 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 5215.

Step 6: Convert to Mixed Number

The fraction 5215 can be written as the mixed number 4815.

Final Answer

The result of 38/15 subtracted by 12/2 is:

3815122=4815

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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