What is 225 Divided by 30? Answer is 7.5
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The answer to 225 divided by 30 is 7.5. This means that if you divide 225 into 30 equal parts, each part will be 7.5. Division allows us to find how many equal portions can be made from a total value, and in this case, the result is a decimal number.
Let’s explore how to solve this step by step.
225/ 30 Using Long Division
We can find 225 ÷ 30 through the long division method.
- Step 1: See how many times 30 goes into 225.
- Step 2: 30 × 7 = 210, which is the closest multiple of 30 less than 225.
- Step 3: Subtract 210 from 225.
[225 – 210 = 15] - Step 4: Since 15 is smaller than 30, we add a decimal and a zero, making it 150.
- Step 5: 30 × 5 = 150.
- Subtract again: 150 – 150 = 0.
Thus, the answer is 7.5.
So, 225 ÷ 30 = 7.5.
Using the Distributive Property
The distributive property can also simplify the division process.
Formula: [(a + b) ÷ c = (a ÷ c) + (b ÷ c)]
Let’s break down 225 into two easy parts:
[225 ÷ 30 = (210 ÷ 30) + (15 ÷ 30)]Now, divide each part:
[210 ÷ 30 = 7, 15 ÷ 30 = 0.5]Add the two results:
[7 + 0.5 = 7.5]Hence, the quotient is 7.5, confirming our earlier calculation.
Other Divisions
Here are some examples of 225 divided by different numbers:
| 225 Divided By | Answer |
|---|---|
| 225 ÷ 2 | 112.5 |
| 225 ÷ 3 | 75 |
| 225 ÷ 5 | 45 |
| 225 ÷ 9 | 25 |
| 225 ÷ 15 | 15 |
| 225 ÷ 25 | 9 |
| 225 ÷ 30 | 7.5 |
| 225 ÷ 45 | 5 |
FAQs
What is the remainder when 225 is divided by 30?
There is no remainder because the division results in a decimal. The exact quotient is 7.5.
Is 225 divisible by 30?
Not evenly. Since 225 ÷ 30 = 7.5, it doesn’t divide perfectly into a whole number.
How can we verify the result?
To check, multiply the quotient by the divisor:
7.5 × 30 = 225.
This confirms that the answer is correct.
