Answer:
1. Three cakes
2. 2,108
3. 53.59
4. 16
5. 7/21 = 1/? (The missing number is 3)
12/72 = 2/? (The missing number is 12)
Step-by-step explanation:
1. Given,
Cassie has 1/2 (half = 0.5) pound of sugar.
A cake will take 2/10 = 0.20 pounds of sugar.
According to the question,
0.20 pound of sugar can be used to produce 1 cake
1 pound of sugar can be used to produce 1/0.20 cake
0.50 pound of sugar can be used to produce (1/0.20)*0.50 cake
=2.5 cake (or, Approximately three cakes)
2. Given,
Dividend = 67,473
Divisor = 32
Therefore, Quotient = Dividend/Divisor
Quotient = 67,473/32
32| 67,473 | 2108
<u> 64 </u>
34
<u> 32 </u>
27
<u> 0 </u>
273
<u> 256 </u>
17
Therefore, Quotient = 2,108 and the reminder = 17
3. 65.39 - 11.8
= 53.59
The difference formula is to deduct the 1st number from 2nd number. The answer is 53.59
4. The full form of L.C.M is least common multiple. To find out the L.C.M of any given data set, we have to make those numbers into their prime factors;
4 = 2 x 2
16 = 2 x 2 x 2 x 2
As L.C.M is the highest possible values. It means the prime number is taken from that particular number where the prime number is more. Here, as 16 creates four 2 multiples where 4 creates two 2 multiples, therefore, the L.C.M of 4 and 16 will be = 2 x 2 x 2 x 2 = 16.
5. 7/21 = 1/? and 12/72 = 2/?
First expression, 7/21 = 1/?
We know, to determine the missing value for a fraction, we need to use the following formula -
Fourth number = (2nd number x 3rd number)/1st number
Here,
1st number = 7
2nd number = 21
3rd number = 1
Therefore, Missing or fourth number = (21*1)/7 = 3
> 12/72 = 2/?
For the 2nd expression,
Fourth number = (2nd number x 3rd number)/1st number
Given,
1st number = 12
2nd number = 72
3rd number = 2
Fourth or missing number = (72*2)/12 = 12
Therefore, the missing number of 1st equation = 3
The missing number of 2nd equation = 12.
