Answer:
3 and 4
Step-by-step explanation:
Evaluate each given expression.
Expression 1
[tex]\begin{aligned} \implies \dfrac{3}{8} \times 54 & =\dfrac{3\times54}{8}\\\\&=\dfrac{162}{8}\\\\&=\dfrac{162 \div 2}{8 \div2}\\\\&=\dfrac{81}{4}\\\\&=20\; \rm r\;1\\\\&=20\frac{1}{4}\end{aligned}[/tex]
Therefore, as 20⁵/₆ ≠ 20¹/₄ the equation is not true.
Expression 2
[tex]\begin{aligned} \implies \dfrac{5}{12} \times 26 & =\dfrac{5 \times 26}{12}\\\\&=\dfrac{130}{12}\\\\&=\dfrac{130\div2}{12\div2}\\\\&=\dfrac{65}{6}\\\\&=10\;\rm r\;5\\\\&=10\dfrac{5}{6}\end{aligned}[/tex]
Therefore, as 9³/₄ ≠ 10⁵/₆ the equation is not true.
Expression 3
[tex]\begin{aligned}\implies \dfrac{11}{15} \times 20 & =\dfrac{11 \times 20}{15}\\\\&=\dfrac{220}{15}\\\\&=\dfrac{220\div5}{15\div5}\\\\&=\dfrac{44}{3}\\\\&=14\; \rm r \;2\\\\&=14\dfrac{2}{3}\end{aligned}[/tex]
Therefore, as 14²/₃ = 14²/₃ the equation is true.
Expression 4
[tex]\begin{aligned} \implies\dfrac{3}{8} \times 48 & =\dfrac{3\times 48 }{8} \\\\& =\dfrac{144}{8} \\\\& =\dfrac{18 \times \diagup\!\!\!\!8}{\diagup\!\!\!\!8}\\\\&=18\end{aligned}[/tex]
Therefore, as 18 = 18 the equation is true.
Expression 5
[tex]\begin{aligned} \implies\dfrac{7}{12} \times 48 & =\dfrac{7\times 48 }{12} \\\\&=\dfrac{336}{12}\\\\&=\dfrac{28 \times 12}{12}\\\\&=28\end{aligned}[/tex]
Therefore, as 21 ≠ 28 the equation is not true.
