Question

3:4.5=       2 1/2 : 3 3/4=5:2.5=20:16=

Answer 1

1.  2/3
2.  10/13
3.  2
4.  1,25

Answer 2

3:4.5=0.666(6)
2) =0.666(6)
3) 2
4) 1.25

Answer 3

Let's break down the given ratios step by step:

1. 3:4.5 Simplify the ratio by dividing both numbers by their greatest common factor (which is 0.5): 3 ÷ 0.5 = 6 4.5 ÷ 0.5 = 9 So, 3:4.5 simplifies to 6:9.

2. 2 1/2 : 3 3/4 Convert the mixed numbers to improper fractions: 2 1/2 = 5/2 3 3/4 = 15/4 Now, calculate the ratio: (5/2) : (15/4)

   To compare these fractions, you can multiply the first fraction by 2 to make the denominators the same: (5/2) * 2 = 5 So, the ratio becomes: 5 : (15/4)

   To simplify this ratio, multiply both parts by 4 to get rid of the fraction in the second part: 5 * 4 = 20 (15/4) * 4 = 15 Now, the ratio is: 20:15

3. 5:2.5 To compare these numbers, you can convert 2.5 to a fraction by multiplying it by 10 (to remove the decimal): 2.5 * 10 = 25 So, the ratio becomes: 5:25

   Simplify the ratio by dividing both parts by their greatest common factor (which is 5): 5 ÷ 5 = 1 25 ÷ 5 = 5 Now, the ratio is: 1:5

4. 20:16 Simplify the ratio by dividing both numbers by their greatest common factor (which is 4): 20 ÷ 4 = 5 16 ÷ 4 = 4 So, 20:16 simplifies to 5:4.

In summary:

• 3:4.5 simplifies to 6:9.
• 2 1/2 : 3 3/4 simplifies to 20:15, and further simplifies to 4:3.
• 5:2.5 simplifies to 1:5.
• 20:16 simplifies to 5:4.

So, the final simplified ratios are:

• 6:9
• 4:3
• 1:5
• 5:4