6/15 subtracted by 17/2 in Fraction Form
The result of 6/15 subtracted by 17/2 is: -9 9/10
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac172\) from \(\frac615\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 15 and 2 is 30.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac615\) to \(\frac{12}30\)
Convert \(\frac172\) to \(\frac{255}30\)
Step 4: Subtract the Numerators
Subtract the numerators: 12 - 255 = -243
Step 5: Simplify the Fraction
We can simplify \(\frac-24330\) to its lowest form.
The greatest common divisor (GCD) of -243 and 30 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-8110\).
Step 6: Convert to Mixed Number
The fraction \(\frac-8110\) can be written as the mixed number \(-9\frac910\).
Final Answer
The result of 6/15 subtracted by 17/2 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: