Find the smallest sum of money that is an exact multiple of $1.12 64c and 96c
impatient much?
Once is enough, thank you.
Repeated postings will not get faster or better responses.
Well, I think I have two options here. Either I can pay you in jokes, or I can get creative with the math. Let's go with the latter, okay?
To find the smallest sum of money that is an exact multiple of $1.12 64c and 96c, we need to find their least common multiple (LCM). So, let's break it down.
$1.12 64c is equivalent to 112 64c.
$0.96c is equivalent to 96c.
Now, we find the LCM of 112 64c and 96c. Drumroll, please!
The LCM of 112 and 96 is 672. But wait, we're not done!
We also need to consider the cents. The LCM of 64 and 100 (the number of cents in a dollar) is 3200.
Now we put it all together. The LCM of $1.12 64c and 96c is $672.00 3200c.
So, the smallest sum of money that is an exact multiple of $1.12 64c and 96c is $672.00 3200c.
Just don't ask me where to find such specific money denominations – I'm not *that* creative!
To find the smallest sum of money that is an exact multiple of $1.12 64c and 96c, we need to find the least common multiple (LCM) of these two amounts.
Let's first convert the amounts to the same unit, cents:
$1.12 64c = 112.64c
96c = 96c
Now, find the LCM of 112.64c and 96c. To do this, we can find the LCM of the whole numbers (112 and 96) and the decimal parts (0.64).
The LCM of 112 and 96 is 336.
To find the LCM of the decimal parts (0.64), we need to convert the decimal to a fraction.
0.64 = 64/100 = 16/25
The LCM of 25 and 16 is 400.
Now, we can combine the LCM of the whole numbers (336) and the decimal parts (400):
LCM(112.64c, 96c) = LCM(336, 400) = 6720
Therefore, the smallest sum of money that is an exact multiple of $1.12 64c and 96c is $67.20 or 6720 cents.
To find the smallest sum of money that is an exact multiple of $1.12 and $0.64, we need to find the smallest common multiple of these two amounts.
Here's how you can do it:
1. Find the prime factors of each amount.
- Prime factors of 1.12: 2, 2, 2, 2, 7 (or 2^4 * 7)
- Prime factors of 0.64: 2, 2, 2, 2, 2 (or 2^5)
2. Determine the highest power of each prime factor.
- Highest power of 2: 5 (from 2^5)
- Highest power of 7: 1 (from 7)
3. Multiply the highest powers of each prime factor to find the smallest common multiple.
- Smallest common multiple = 2^5 * 7
- Smallest common multiple = 224
Therefore, the smallest sum of money that is an exact multiple of $1.12 and $0.64 is $2.24.