15 5/15 - 15

asked by guest
on Nov 28, 2024 at 5:51 am



You asked:

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

MathBot Answer:

\[ 15\frac{5}{15} - 15 = \frac{1}{3} = 0.\overline{3} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{15}{1}\), \(\frac{5}{15}\), and \(\frac{-15}{1}\) is \(15\). \[ \begin{aligned} 15\frac{5}{15} - 15 &= \frac{15 \cdot 15}{1 \cdot 15} + \frac{5 \cdot 1}{15 \cdot 1} + \frac{-15 \cdot 15}{1 \cdot 15} \\ &= \frac{225 + 5 + -225}{15} \\ &= \frac{5}{15} \\&= \frac{1}{3} \end{aligned} \]