17/89 subtracted by 9/4 in Fraction Form
The result of 17/89 subtracted by 9/4 is: -3 335/356
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac94\) from \(\frac1789\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 89 and 4 is 356.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac1789\) to \(\frac{68}356\)
Convert \(\frac94\) to \(\frac{801}356\)
Step 4: Subtract the Numerators
Subtract the numerators: 68 - 801 = -733
Step 5: Convert to Mixed Number
The fraction \(\frac-733356\) can be written as the mixed number \(-3\frac335356\).
Final Answer
The result of 17/89 subtracted by 9/4 is:
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: