Answer/Step-by-step explanation:
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[tex]\frac{1}{3}\times\frac{2}{4}[/tex]
[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]
[tex]=\frac{1}{3}\cdot \frac{1}{2}[/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{1\cdot \:1}{3\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:1=1[/tex]
[tex]=\frac{1}{3\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6[/tex]
[tex]=\frac{1}{6}[/tex]
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[tex]\frac{1}{6}\times\frac{4}{9}[/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{1\cdot \:4}{6\cdot \:9}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4[/tex]
[tex]=\frac{4}{6\cdot \:9}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:4=2\cdot \:2[/tex]
[tex]=\frac{2\cdot \:2}{6\cdot \:9}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]
[tex]=\frac{2\cdot \:2}{2\cdot \:3\cdot \:9}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{2}{3\cdot \:9}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:9=27[/tex]
[tex]=\frac{2}{27}[/tex]
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[tex]\frac{2}{3}\times\frac{7}{8}[/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 \:7}{3\cdot \:8}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:8=2\cdot \:4[/tex]
[tex]=\frac{2\cdot \:7}{3\cdot \:2\cdot \:4}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{7}{3\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]
[tex]=\frac{7}{12}[/tex]
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[tex]\frac{2}4\times\frac{2}{5}[/tex]
[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}\cdot \frac{2}{5}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]
[tex]=\frac{1}5[/tex]
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Code: 6 2 12 1
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