15/41 subtracted by 6/4 in Fraction Form

The result of 15/41 subtracted by 6/4 is: -2 71/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 64 from 1541.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 41 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1541 to 60164
Convert 64 to 246164

Step 4: Subtract the Numerators

Subtract the numerators: 60 - 246 = -186

Step 5: Simplify the Fraction

We can simplify 186164 to its lowest form.
The greatest common divisor (GCD) of -186 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 9382.

Step 6: Convert to Mixed Number

The fraction 9382 can be written as the mixed number 27182.

Final Answer

The result of 15/41 subtracted by 6/4 is:

154164=27182

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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