The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th
Step-by-step explanation:
Let us revise some fact about the product of two numbers
We need to select all the expressions with a product less than 2/3
∵ 4 and 1/8 × 2/3
- 4 and 1/8 means mixed number [tex]4\frac{1}{8}[/tex]
∵ [tex]4\frac{1}{8}[/tex] > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴ [tex]4\frac{1}{8}[/tex] × [tex]\frac{2}{3}[/tex] > [tex]\frac{2}{3}[/tex]
∵ [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex]
∵ [tex]\frac{2}{3}[/tex] is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴ [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] < [tex]\frac{2}{3}[/tex]
∵ [tex]\frac{2}{3}[/tex] × 2
∵ 2 > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴ [tex]\frac{2}{3}[/tex] × 2 > [tex]\frac{2}{3}[/tex]
∵ [tex]\frac{5}{6}[/tex] × [tex]\frac{2}{3}[/tex]
∵ [tex]\frac{5}{6}[/tex] is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴ [tex]\frac{5}{6}[/tex] × [tex]\frac{2}{3}[/tex] < [tex]\frac{2}{3}[/tex]
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3
Learn more:
You can learn more about the fractions in brainly.com/question/1312102
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