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A cress seed took 
(8)/(7) of a week to sprout. An artichoke seed took 
(17)/(7) weeks to sprout.
What question does 
(8)/(7)÷(17)/(7) help us answer in this situation?
Choose 1 answer:
(A) How much longer did the artichoke seed take to germinate than the cress seed?
(B) How many times as long did the artichoke seed take to sprout as the cress seed?
(C) How much longer did the cress seed take to germinate than the artichoke seed?
D How many times as long did the cress seed take to sprout as the artichoke seed?

A cress seed took 87 \frac{8}{7} of a week to sprout. An artichoke seed took 177 \frac{17}{7} weeks to sprout.\newlineWhat question does 87÷177 \frac{8}{7} \div \frac{17}{7} help us answer in this situation?\newlineChoose 11 answer:\newline(A) How much longer did the artichoke seed take to germinate than the cress seed?\newline(B) How many times as long did the artichoke seed take to sprout as the cress seed?\newline(C) How much longer did the cress seed take to germinate than the artichoke seed?\newlineD How many times as long did the cress seed take to sprout as the artichoke seed?

Full solution

Q. A cress seed took 87 \frac{8}{7} of a week to sprout. An artichoke seed took 177 \frac{17}{7} weeks to sprout.\newlineWhat question does 87÷177 \frac{8}{7} \div \frac{17}{7} help us answer in this situation?\newlineChoose 11 answer:\newline(A) How much longer did the artichoke seed take to germinate than the cress seed?\newline(B) How many times as long did the artichoke seed take to sprout as the cress seed?\newline(C) How much longer did the cress seed take to germinate than the artichoke seed?\newlineD How many times as long did the cress seed take to sprout as the artichoke seed?
  1. Understand the context: Understand the context of the problem.\newlineWe have two fractions representing the time it took for two different seeds to sprout: cress seed took 87\frac{8}{7} of a week, and artichoke seed took 177\frac{17}{7} weeks. We want to know what question the division of these two fractions answers.
  2. Perform the division: Perform the division of the two fractions.\newlineTo divide fractions, we multiply the first fraction by the reciprocal of the second fraction.\newline(87)÷(177)=(87)×(717)(\frac{8}{7}) \div (\frac{17}{7}) = (\frac{8}{7}) \times (\frac{7}{17})
  3. Simplify the expression: Simplify the expression.\newlineWe can simplify the expression by canceling out the common factors in the numerator and the denominator.\newline(87)×(717)=817(\frac{8}{7}) \times (\frac{7}{17}) = \frac{8}{17}
  4. Interpret the result: Interpret the result.\newlineThe result of the division, 817\frac{8}{17}, represents how many times the cress seed's sprouting time fits into the artichoke seed's sprouting time. Therefore, it answers the question of how many times as long the artichoke seed took to sprout as the cress seed.