10.15+5.7

asked by guest
on Jan 15, 2025 at 5:43 pm



You asked:

Evaluate the expression: \(10.15 + 5.7\)

MathBot Answer:

\[ 10.15 + 5.7 = \frac{317}{20} = 15.85 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{10}{1}\), \(\frac{15}{100}\), \(\frac{5}{1}\), and \(\frac{7}{10}\) is \(100\). \[ \begin{aligned} 10.15 + 5.7 &= \frac{10 \cdot 100}{1 \cdot 100} + \frac{15 \cdot 1}{100 \cdot 1} + \frac{5 \cdot 100}{1 \cdot 100} + \frac{7 \cdot 10}{10 \cdot 10} \\ &= \frac{1000 + 15 + 500 + 70}{100} \\ &= \frac{1585}{100} \\&= \frac{317}{20} \end{aligned} \]