38/15 subtracted by 2/4 in Fraction Form

The result of 38/15 subtracted by 2/4 is: 2 1/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 24 from 3815.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3815 to 15260
Convert 24 to 3060

Step 4: Subtract the Numerators

Subtract the numerators: 152 - 30 = 122

Step 5: Simplify the Fraction

We can simplify 12260 to its lowest form.
The greatest common divisor (GCD) of 122 and 60 is 2.
Dividing both numerator and denominator by the GCD, we get 6130.

Step 6: Convert to Mixed Number

The fraction 6130 can be written as the mixed number 2130.

Final Answer

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

381524=2130

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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