18/13 subtracted by 5/3 in Fraction Form
The result of 18/13 subtracted by 5/3 is: -11/39
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac53\) from \(\frac1813\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 13 and 3 is 39.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac1813\) to \(\frac{54}39\)
Convert \(\frac53\) to \(\frac{65}39\)
Step 4: Subtract the Numerators
Subtract the numerators: 54 - 65 = -11
Final Answer
The result of 18/13 subtracted by 5/3 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: