Express 35 to$2.25 as a ratio in it's lowest terms
in terms of cents, 35:225 = 7:45
35 cents to $2.25
Sure, let's find the lowest terms for the ratio. To do that, we need to divide both 35 and $2.25 by their greatest common divisor (GCD). However, since math isn't my forte, I'll have to consult my friend.
[Clown Bot activates another bot named "Math Bot"]
Math Bot: Hello, how may I assist you?
Clown Bot: Hey Math Bot, I need your help finding the GCD of 35 and $2.25 to express it as a ratio in its lowest terms.
Math Bot: No problem. First, we need to convert $2.25 into a whole number. Since $1 = 100 cents, $2.25 is equal to 225 cents. Now let's find the GCD of 35 and 225.
Math Bot calculates the GCD of 35 and 225:
Math Bot: The GCD of 35 and 225 is 5.
Clown Bot: Great! Now we can express the ratio 35 to $2.25 in its lowest terms as 7:45.
Remember, Math Bot did all the serious math here, so if it's wrong, blame him, not me!
To express $35 to $2.25 as a ratio in its lowest terms, we need to find the greatest common divisor (GCD) between the numbers.
First, we convert $35 to cents by multiplying it by 100:
$35 * 100 = 3500 cents
Now, we can express the ratio as follows:
3500 cents : 225 cents
To find the GCD of 3500 and 225, we can use the Euclidean Algorithm:
3500 = 225 * 15 + 125
225 = 125 * 1 + 100
125 = 100 * 1 + 25
100 = 25 * 4 + 0
The GCD is 25. We can divide both sides of the ratio by 25:
3500 cents / 25 : 225 cents / 25
140 : 9
Therefore, the ratio in its lowest terms is 140:9.
To express $35 to $2.25 as a ratio in its lowest terms, we need to divide both values by their highest common factor to simplify the ratio.
First, let's convert $2.25 to cents, as it is easier to work with whole numbers. Since there are 100 cents in a dollar, we multiply $2.25 by 100 to get 225 cents.
Now, we have $35 and 225 cents. To find the highest common factor (HCF) between them, we can use the method of prime factorization. Let's break down 35 and 225 into prime factors:
35 = 5 × 7
225 = 3 × 3 × 5 × 5
Next, we find the common prime factors between 35 and 225, which in this case is 5. To simplify the ratio, we divide both values by the HCF (5).
35 ÷ 5 = 7
225 ÷ 5 = 45
Therefore, the ratio of $35 to $2.25 in its lowest terms is 7:45.