Equivalent Proportions Test! Math Trivia

The statement "4/3 = 24/30" is incorrect. The fraction 4/3 is not equal to the fraction 24/30. In order to determine if two fractions are equal, we need to find their simplest form. Simplifying 4/3 gives us 1 1/3, while simplifying 24/30 gives us 4/5. Since 1 1/3 is not equal to 4/5, the answer is "no".

The given equation 6/5 = 24/20 is true because both sides of the equation simplify to the same value. When we simplify 6/5, we get 1.2. Similarly, when we simplify 24/20, we also get 1.2. Therefore, both sides of the equation are equal, making the statement "yes" correct.

The given answer "yes" is correct because the ratio of 11:3 is equivalent to the ratio of 33:9. This can be determined by multiplying the numerator and denominator of the first ratio by the same number (3), which gives us 33:9. Therefore, the two ratios are equal and the answer is "yes".

The given question asks to identify the proportions that are equal to 8/9. To determine this, we need to simplify each proportion and check if it equals 8/9. Simplifying 16/18 gives us 8/9, so it is equal to the desired proportion. Simplifying 56/81 results in a different value, so it is not equal to 8/9. Similarly, simplifying 24/27 gives us 8/9, so it is correct. Lastly, simplifying 80/90 gives us a different value, so it is not equal to 8/9. Therefore, the correct answers are 16/18, 24/27, and 80/90.

The given question asks for proportions that are equal to 5 to 4. Among the options provided, the proportions 15 to 12 and 25 to 20 are equal to 5 to 4. In both cases, if we divide the first number by the second number, we get a ratio of 5/4. Therefore, these two options are correct answers.

The given answer "yes" is correct because the ratio of 3 to 2 is equivalent to the ratio of 18 to 12. When both ratios are simplified, they both reduce to 3:2, indicating that they are proportional. Therefore, the answer is "yes" as the two ratios are equal.

The proportions that are equal to 4/5 are 12 to 15 and 36/45. In the first proportion, 12 is 4/5 of 15. In the second proportion, 36 is also 4/5 of 45. The other options, 15/18 and 20/30, are not equal to 4/5.

The given equation states that 6/5 is equal to 36/30. This is true because both fractions can be simplified to 6/5, indicating that they are equivalent.

All the given proportions can be simplified to a ratio of 12 to 10. The ratio 24 to 20 can be simplified by dividing both numbers by 2, resulting in a ratio of 12 to 10. Similarly, the ratio 6 to 5 can be simplified by multiplying both numbers by 2, resulting in a ratio of 12 to 10. The ratio 30 to 25 can be simplified by dividing both numbers by 5, resulting in a ratio of 6 to 5. Finally, the ratio 60 to 50 can be simplified by dividing both numbers by 10, resulting in a ratio of 6 to 5. Therefore, all the given ratios are equal to 12 to 10.