Using compatible numbers, the quotient of [tex]27\frac{2}{3} \div 3\frac{9}{10}[/tex] can be estimated as 28 divided by 4 = 7.
Recall:
- Quotient is the result of the division of two numbers.
- Compatible numbers are numbers that one can easily perform simple operations (addition, multiplication, subtraction, division) on mentally.
We are given: [tex]27\frac{2}{3} \div 3\frac{9}{10}[/tex]
[tex]27\frac{2}{3}[/tex] is closer to 28.
[tex]3\frac{9}{10}[/tex] is closer to 4.
- Therefore, we can easily divide 28 by 4 because they are compatible.
28 divided by 4 will give us 7.
Therefore, using compatible numbers, the quotient of [tex]27\frac{2}{3} \div 3\frac{9}{10}[/tex] can be estimated as 28 divided by 4 = 7.
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