17.021+9.683+17.07+4.3

asked by guest
on Nov 09, 2024 at 7:15 pm



You asked:

Evaluate the expression: \(17.021 + 9.683 + 17.07 + 4.3\)

MathBot Answer:

\[ 17.021 + 9.683 + 17.07 + 4.3 = \frac{24037}{500} = 48.074 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{17}{1}\), \(\frac{21}{1000}\), \(\frac{9}{1}\), \(\frac{683}{1000}\), \(\frac{17}{1}\), \(\frac{7}{100}\), \(\frac{4}{1}\), and \(\frac{3}{10}\) is \(1000\). \[ \begin{aligned} 17.021 + 9.683 + 17.07 + 4.3 &= \frac{17 \cdot 1000}{1 \cdot 1000} + \frac{21 \cdot 1}{1000 \cdot 1} + \frac{9 \cdot 1000}{1 \cdot 1000} + \frac{683 \cdot 1}{1000 \cdot 1} + \frac{17 \cdot 1000}{1 \cdot 1000} + \frac{7 \cdot 10}{100 \cdot 10} + \frac{4 \cdot 1000}{1 \cdot 1000} + \frac{3 \cdot 100}{10 \cdot 100} \\ &= \frac{17000 + 21 + 9000 + 683 + 17000 + 70 + 4000 + 300}{1000} \\ &= \frac{48074}{1000} \\&= \frac{24037}{500} \end{aligned} \]