Multiply and divide ratio numbers practice
Sure! Here are some problems for you to practice multiplying and dividing ratios:
1) Multiply the ratio 2:3 by 4.
Solution:
2:3 * 4 = 8:12
2) Divide the ratio 5:6 by 2.
Solution:
5:6 / 2 = 2.5:3
3) Multiply the ratio 3:4 by 5/8.
Solution:
3:4 * 5/8 = 15/8: 20/8 = 15:20
4) Divide the ratio 7:9 by 3/5.
Solution:
7:9 / 3/5 = 7:9 * 5/3 = 35/27:45/27 = 35:45
5) Multiply the ratio 1:2 by 1/3.
Solution:
1:2 * 1/3 = 1/3:2/3 = 1:2/3
Sure! Let's practice multiplying and dividing ratio numbers step-by-step.
Step 1: Understand the concept of ratio
A ratio compares the relative sizes of two or more quantities. It is often written as a fraction or with a colon (:). For example, a ratio of 1:2 means that the first quantity is half the size of the second quantity.
Step 2: Multiplying ratios
To multiply ratios, you need to multiply the numerators together and the denominators together. Here's an example:
Ratio 1: 2/3
Ratio 2: 4/5
To multiply these ratios, multiply the numerators (1 * 4 = 4) to get the numerator of the new ratio and multiply the denominators (3 * 5 = 15) to get the denominator of the new ratio.
The multiplied ratio is: 4/15
Step 3: Dividing ratios
To divide ratios, you need to invert the second ratio and then multiply. Here's an example:
Ratio 1: 2/3
Ratio 2: 4/5
To divide these ratios, invert the second ratio (flip the numerator and denominator):
New ratio 2: 5/4
Now, multiply the first ratio by the inverted second ratio:
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12
Simplify the resulting ratio if possible. In this case, both the numerator and denominator can be divided by 2:
10/12 = 5/6
So, the divided ratio is 5/6.
Practice problem:
Multiply the ratios:
Ratio 1: 3/4
Ratio 2: 2/5
Solution:
Multiply the numerators (3 * 2 = 6) and the denominators (4 * 5 = 20):
6/20
The multiplied ratio is 6/20, which can be simplified to 3/10.
I hope this helps! Let me know if you have any more questions.
To practice multiplying and dividing ratio numbers, you can follow these steps:
1. Understand the ratio numbers: A ratio compares two or more quantities. It is written in the form of a fraction, where the numerator represents the first quantity and the denominator represents the second quantity. For example, a ratio of 3:4 represents a comparison between 3 and 4.
2. For multiplying ratio numbers, you need to multiply both the numerator and the denominator separately. For example, if you have the ratio 2:3 and you want to multiply it by 4, you would multiply 2 by 4 to get 8 and multiply 3 by 4 to get 12. So the new ratio after multiplication would be 8:12.
3. For dividing ratio numbers, you need to divide both the numerator and the denominator separately. For example, if you have the ratio 4:5 and you want to divide it by 2, you would divide 4 by 2 to get 2 and divide 5 by 2 to get 2.5. So the new ratio after division would be 2:2.5.
4. Practice with examples: Here are a few examples for you to practice:
a) Multiply the ratio 2:3 by 5.
- Multiply 2 by 5 to get 10.
- Multiply 3 by 5 to get 15.
- The new ratio is 10:15.
b) Divide the ratio 6:8 by 2.
- Divide 6 by 2 to get 3.
- Divide 8 by 2 to get 4.
- The new ratio is 3:4.
c) Multiply the ratio 4:7 by 3.
- Multiply 4 by 3 to get 12.
- Multiply 7 by 3 to get 21.
- The new ratio is 12:21.
d) Divide the ratio 9:6 by 3.
- Divide 9 by 3 to get 3.
- Divide 6 by 3 to get 2.
- The new ratio is 3:2.
Remember to always simplify the ratios if possible. If you encounter any fractions, you can convert them to decimal form for easier calculation. Practice these steps with different examples to become more comfortable with multiplying and dividing ratio numbers.