Answer:
The least common denominator is 12.
Step-by-step explanation:
1/6 and 5/12.
Skip count by 6and 12.
6: 6,12,18,24,30.....
12: 12,24, 36,48...
12, appeared first, so 12 is the least common denominator.
hope it helps.
Answer:
0-4x + 9x
Step-by-step explanation:
0-4x + 9x = 9x - 4x = 5x
According to the order of operations, multiplication and division are performed before addition and subtraction.
... 8 - 12 ÷ 2 + 3
... = 8 - 6 + 3 . . . . . . 12÷2 = 6
... = 2 + 3 . . . . . . . . . 8-6 = 2
... = 5
Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
She will need 30 apples more and 200 apples in total.