Question

Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.​

Answer 1

Answer: Max has 4 cards.

Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3

Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.

Answer 2

Answer:

4 cards

Step-by-step explanation:

Each card takes  $\frac{1}{6}$ of an hour to be completed, and Max works for $\frac{2}{3}$ of an hour, so Max must've completed x amount of cards in

$\frac{1}{6} x=\frac{2}{3}$

And we can solve the equation by multiplying the reciprocal of $\frac{1}{6}$ , which is $\frac{6}{1}$,to solve for x:

$\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3}$

And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.

$1x=\frac{12}{3}$

The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:

$x=\frac{12}{3}$

And we can simplify the fraction...:

$x=4$

And we are done!

Couldn't make a fraction bar but hopes this helps :(