Question

Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)

a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.

b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.

c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.

d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.

Answer 1

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions

via. google

Hope this helps dude

Answer 2

Tom can get 2 and 3 over 16 ($2\frac{3}{16}$) pounds of honey if he divides 7 over 8 ($\frac{7}{8}$) pound of honey into 2 over 5 ($\frac{2}{5}$) pound portions: Option C.

Given the following data:

• Quantity of honey = $\frac{7}{8} \;pound$

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

$\frac{7}{8}\; \div \; \frac{2}{5}$

Applying the basic law of division for fractions, we have:

$Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}$

Simplifying further, we have:

$Quotient =\frac{35}{16} = 2\frac{3}{16}$

Therefore, Tom can get 2 and 3 over 16 ($2\frac{3}{16}$) pounds of honey if he divides 7 over 8 ($\frac{7}{8}$) pound of honey into 2 over 5 ($\frac{2}{5}$) pound portions.

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