There are 5 dimes and 13 nickels
7 days in a week, 3 days a rotation.
multiples of 7: 7, 14, 21, 28
multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
the LCM is 21, because it is the smallest multiple of both numbers. there will be 21 more days until you take dance class on Mondays
Answer:
15w+5
How I did it:
add 2 and 13 and put the "w" after the answer which is 15. Then add 4 and 1. That is 5 so then it is 15w+5.
It's easy once you spot the ones that can cross cancel!
Say we have the fractions 8/10 and 20/23.
(it's easier to see on top of each other)
If you look diagonally , so 8 and 23 and 10 and 20, you can see that 10 and 20 have a common factor. So we divide it by the highest common factor to reduce those numbers, making it easier to multiply. 10 and 20 can become 1 and 2, dividing by 10. So now we are left with 8/1 and 2/23, and now we multiply normally going across so 16/23.
This works going both diagonals and simplifying both, but in that case it would be easier to try and simplify the fractions before cross multiplying them.
Basically: look for those diagonals and if they can be divided down by the highest common factor, go for it to make it easier to multiply normally afterwards.
Hope I helped!