Question

Order and Conversion of Decimal to Fractions. The following measurements are given for a particular medicine: 0.308, 0.292, 0.31, 0.3, 0.314, 0.32. Put the measurements in order from smallest to largest. Then convert to fractions and simplify to reduce terms.

Answer 1

[0.292, 0.3, 0.308, 0.31, 0.314, 0.32]

Rest of the solution below!

Explanation:

The order from smaller to largest is the following:

[0.292, 0.3, 0.308, 0.31, 0.314, 0.32]

To convert to fractons, the easiest way is by multiplying each number by 10, 100 or 1000 depending on the amount of decimals each number has.

For example:

1. The number 0.292 has 3 decimals, so we multiply and divide the number by 1000.

(0.292 * 1000) / 1000 = 292/1000. Simplifying:

292/1000 = 146/500 = 73 / 250.

2. The number 0.3 has 1 decimal, so we multiply and divide the number by 10.

(0.3 * 10)/10 = 3/10.

3. The number 0.308 has 3 decimal, so we multiply and divide the number by 1000.

(0.308 * 1000)/1000 = 308/1000. Simplifying:

308/1000 = 154/500 = 77/250

4. The number 0.31 has 2 decimals, so we multiply and divide the number by 100

(0.31*100)/100 = 31/100

5. The number 0.314 has 3 decimals, so we multiply and divide the number by 1000

(0.314*1000)/1000 = 314/1000 = 157/500

6. The number 0.32 has 2 decimals, so we multiply and divide the number by 100

(0.32*100)/100 = 32/100 = 16/50 = 8/25