Division is another name for "multiplication by the inverse". Here, you want to divide by 3/8, so that is the same as multiplying by 8/3, which is the inverse of 3/8.
.. 3/4 * 8/3
.. = (3*8)/(4*3)
.. = 24/12
.. = 2
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You can use your number sense to solve this, too. You know that 3/8 is half of 3/4. So, if you say 3/8 is "k", then 3/4 is "2k" and your problem becomes
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3/4 / 3/8= 3/4 *8/3= 24/12=2
Division is another name for "multiplication by the inverse". Here, you want to divide by 3/8, so that is the same as multiplying by 8/3, which is the inverse of 3/8.
.. 3/4 * 8/3
.. = (3*8)/(4*3)
.. = 24/12
.. = 2
_____
You can use your number sense to solve this, too. You know that 3/8 is half of 3/4. So, if you say 3/8 is "k", then 3/4 is "2k" and your problem becomes
.. (2k)/k
which you know is 2.
3/4*8/3= 24/12= 2
3/4 divided by 3/8 <-- take the inverse of the 2nd fraction, swap the numerator and denominator, and change the divide to multiply
3/4 multiplied by 8/3 <-- multiply the numerators by each other and denominators by each other
(3*8) / (4 * 3) <-- multiply
24 / 12 <-- divide
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