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Bonita evaluated 5/6 × 1 2/3 and got an answer of 7/3. How can you tell that her answer is wrong?

A. The answer must be less than 5/6.


B. The answer cannot be an improper fraction.


C. 5/6 of a number cannot be greater than the number.


D. The denominator cannot be the same as one of the factors.



Answer :

heyDB
Convert the mixed number 1 2/3 into an improper fraction first by multiplying the denominator by the whole number part and add the numerator to get the new numerator. Place the new numerator over the old denominator.

5 * 5/6 * 3

Multiply 5 by 5 to get 25. 

25/6 * 3

Multiply 6 by 3 to get 18. 

25/18

1 7/18

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

[tex]\frac{5}{6}\times 1\frac{2}{3}\\\\=\frac{5}{6}\times \frac{5}{3}\\\\=\frac{5\times 5}{6\times 3}\\\\=\frac{25}{18}[/tex]

But she gets [tex]\frac{7}{3}[/tex] as an answer.

As we know that

[tex]\frac{5}{6}[/tex]  of a number cannot be greater than the number.

Because the value of [tex]\frac{5}{6}[/tex] is 0.84 which is less than 1.

So, [tex]\frac{5}{6}[/tex]  of a number cannot be greater than the number

and

[tex]\frac{7}{3}=2.34\\\\but\\\\\frac{25}{18}=1.38[/tex]

1.38<2.34 i.e.

[tex]\frac{25}{18}<\frac{7}{3}[/tex]

So, Option 'C' is correct.


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