9/41 subtracted by 6/6 in Fraction Form

The result of 9/41 subtracted by 6/6 is: -32/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac66\) from \(\frac941\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 41 and 6 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac941\) to \(\frac{54}246\)
Convert \(\frac66\) to \(\frac{246}246\)

Step 4: Subtract the Numerators

Subtract the numerators: 54 - 246 = -192

Step 5: Simplify the Fraction

We can simplify \(\frac-192246\) to its lowest form.
The greatest common divisor (GCD) of -192 and 246 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac-3241\).

Final Answer

The result of 9/41 subtracted by 6/6 is:

\[ \frac{9}{41} - \frac{6}{6} = \frac-3241 \]

Understanding Fraction Subtraction

How to Subtract Fractions

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

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} - \frac{c}{b} = \frac{a - c}{b} \) (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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