9/5-15/24

asked by guest
on Jan 17, 2025 at 5:37 am



You asked:

Evaluate the expression: \(\frac{9}{5} - \frac{15}{24}\)

MathBot Answer:

\[ \frac{9}{5} - \frac{15}{24} = \frac{47}{40} = 1.175 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{9}{5}\) and \(\frac{-15}{24}\) is \(120\). \[ \begin{aligned} \frac{9}{5} - \frac{15}{24} &= \frac{9 \cdot 24}{5 \cdot 24} + \frac{-15 \cdot 5}{24 \cdot 5} \\ &= \frac{216 + -75}{120} \\ &= \frac{141}{120} \\&= \frac{47}{40} \end{aligned} \]


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