Answer:
[tex]\frac{15}{16}[/tex]
Step-by-step explanation:
[tex]\frac{5}{4}\cdot \:3\cdot \frac{1}{4}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]
[tex]=\frac{5}{4}\cdot \frac{3}{1}\cdot \frac{1}{4}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{5\cdot \:3\cdot \:1}{4\cdot \:1\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3\cdot \:1=15[/tex]
[tex]=\frac{15}{4\cdot \:1\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1\cdot \:4=16[/tex]
[tex]\frac{15}{16}[/tex]
Hence, 15/16 is the correct Answer.
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