Question

Select all of the number sentences that are true. 8 4 2 1 10 11 35 D. 11 J : 84 - 1 2등 3 1 = 3 o D. 123 : 64 = 2 19

Answer 1

options B and D

Explanation:

we check the options and simplify:

$\begin{gathered} 8\frac{2}{3}\colon\text{ 4}\frac{1}{8} \\ \frac{26}{3}\colon\frac{33}{8} \\ \colon\text{ means division} \\ \frac{26}{3}\times\frac{8}{33}\text{ =}\frac{208}{99} \\ \frac{208}{99}\text{ is not equal to }2\frac{1}{10} \end{gathered}$$\begin{gathered} 11\frac{1}{2}\colon\text{ 8}\frac{3}{4} \\ \frac{23}{2}\colon\frac{35}{4}\text{ =}\frac{23}{2}\times\frac{4}{35}\text{ = 46/35} \\ =\text{ 1}\frac{11}{35\text{ }}\text{ } \\ \text{this is correct} \end{gathered}$$\begin{gathered} 2\frac{5}{6}\colon3\frac{1}{4}\text{ = }\frac{17}{6}\colon\frac{13}{4}\text{ = }\frac{17}{6}\times\frac{4}{13}=\text{ }\frac{34}{39} \\ \\ =\text{ }\frac{34}{39}\text{ is not equal to }3\frac{1}{9} \end{gathered}$$\begin{gathered} 12\frac{2}{3}\colon\text{ 6}\frac{1}{4}\text{ = }\frac{38}{3}\colon\text{ }\frac{25}{4}\text{ = }\frac{38}{3}\times\text{ }\frac{4}{25}\text{ = }\frac{152}{75} \\ =\text{ 2}\frac{2}{75}\text{ correct} \\ \end{gathered}$

options B and D