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3 years ago

11

For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 3

50 miles in 5 hours, how long does it take to travel 140 miles?

1 answer:

Nastasia [14]3 years ago

3 0

It takes the car 2 hours to travel 140 miles.

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Is the quotient of 3/5 ÷ 6/7 greater than or less than 3/5? Explain

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The quotient of two fraction is the multiplication between the first and the inverse of the second:

$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}$

So, in your case, you have

$\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}$

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

$\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}$

So, now it is clear that

$\dfrac{7}{10} > \dfrac{6}{10}$

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