Answer:
[tex]1\frac{1}{2}\cdot \:4\cdot \frac{2}{3}=4[/tex]
[tex]2\cdot \:4\cdot \frac{2}{3}=\frac{16}{3}\quad \left(\mathrm{Decimal:\quad }\:5.33333\dots \right)[/tex]
Step-by-step explanation:
-----prob.1----------
Convert mixed to improper
[tex]1\frac{1}{2}=\frac{1\cdot 2+1}{2}[/tex] [tex]=\frac{3}{2}[/tex]
[tex]=\frac{3}{2}\cdot \:4\cdot \frac{2}{3}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:3,\:2[/tex]
[tex]=1\cdot \:4[/tex]
[tex]\mathrm{Apply\:rule}:\quad \:a\cdot 1=a[/tex]
[tex]=4[/tex]
------- prob.2---------
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2}{1}[/tex]
[tex]=\frac{2}{1}\cdot \:4\cdot \frac{2}{3}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:4=\frac{4}{1}[/tex]
[tex]=\frac{2}{1}\cdot \frac{4}{1}\cdot \frac{2}{3}[/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{2\cdot \:4\cdot \:2}{1\cdot \:1\cdot \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4\cdot \:2=16\\\\[/tex]
[tex]=\frac{16}{1\cdot \:1\cdot \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:1\cdot \:3=3[/tex]
[tex]=\frac{16}{3}[/tex]
PA BRAINLIEST PO
Hope it helps
