10/41 subtracted by 8/4 in Fraction Form

The result of 10/41 subtracted by 8/4 is: -2 10/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac84\) from \(\frac1041\).

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 \(\frac1041\) to \(\frac{40}164\)
Convert \(\frac84\) to \(\frac{328}164\)

Step 4: Subtract the Numerators

Subtract the numerators: 40 - 328 = -288

Step 5: Simplify the Fraction

We can simplify \(\frac-288164\) to its lowest form.
The greatest common divisor (GCD) of -288 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-7241\).

Step 6: Convert to Mixed Number

The fraction \(\frac-7241\) can be written as the mixed number \(-2\frac1041\).

Final Answer

The result of 10/41 subtracted by 8/4 is:

\[ \frac{10}{41} - \frac{8}{4} = -2\frac1041 \]

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).

Fraction Calculator

Calculate operations between any two fractions: