5 15/18 - 3/18

asked by guest
on Nov 21, 2024 at 11:06 pm



You asked:

Evaluate the expression: \(5\frac{15}{18} - \frac{3}{18}\)

MathBot Answer:

\[ 5\frac{15}{18} - \frac{3}{18} = \frac{17}{3} = 5.\overline{6} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{15}{18}\), and \(\frac{-3}{18}\) is \(18\). \[ \begin{aligned} 5\frac{15}{18} - \frac{3}{18} &= \frac{5 \cdot 18}{1 \cdot 18} + \frac{15 \cdot 1}{18 \cdot 1} + \frac{-3 \cdot 1}{18 \cdot 1} \\ &= \frac{90 + 15 + -3}{18} \\ &= \frac{102}{18} \\&= \frac{17}{3} \end{aligned} \]