241/81 subtracted by 4/3 in Fraction Form

The result of 241/81 subtracted by 4/3 is: 1 52/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac43\) from \(\frac24181\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 81 and 3 is 81.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac24181\) to \(\frac{241}81\)
Convert \(\frac43\) to \(\frac{108}81\)

Step 4: Subtract the Numerators

Subtract the numerators: 241 - 108 = 133

Step 5: Convert to Mixed Number

The fraction \(\frac13381\) can be written as the mixed number \(1\frac5281\).

Final Answer

The result of 241/81 subtracted by 4/3 is:

\[ \frac{241}{81} - \frac{4}{3} = 1\frac5281 \]

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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