Solve Mentally with conversion to decimals, no calculation of common denominators. Place the following in ascending order(smallest to largest)
1/4
8/9
7/10
9/21
7/16
2/3
2/47
5/6
3/4
3/5
1/13
1/8
do what was suggested. As decimals, you have
.25 .88 .70 .42 ...
then sort them as desired.
Can you convert these fractions to decimals?
http://www.mathsisfun.com/converting-fractions-decimals.html
http://math2.org/math/general/arithmetic/fradec.htm
How would you solve this problem using mental math (no conversion to decimals, no calculations of common denominators)in ascending order. Explain how you placed each one
1/4
8/9
7/10
9/21
7/16
2/3
2/47
5/6
3/4
3/5
1/13
1/8
Hmmm. Originally it said to use conversion to decimals. Now you say no conversion and no common denominators. Unless you have a really good feel for relative values of fractions, I don't see any tricks to use to sort such a list.
To solve this problem mentally and in ascending order, we need to convert the fractions to decimals so that we can easily compare them. We can do this by finding the decimal equivalents of each fraction.
Let's start with the first fraction, 1/4. To convert this fraction to a decimal, we divide 1 by 4, which gives us 0.25.
Next, let's convert the second fraction, 8/9. Dividing 8 by 9 gives us approximately 0.8889.
For the third fraction, 7/10, dividing 7 by 10 results in 0.7.
Moving on to 9/21, dividing 9 by 21 gives us approximately 0.4286.
The fifth fraction is 7/16, and dividing 7 by 16 gives us approximately 0.4375.
For the sixth fraction, 2/3, dividing 2 by 3 gives us approximately 0.6667.
Next, let's convert 2/47. Dividing 2 by 47 gives us approximately 0.0426.
For the eighth fraction, 5/6, dividing 5 by 6 gives us approximately 0.8333.
Moving on to the ninth fraction, 3/4, dividing 3 by 4 gives us 0.75.
Next, let's convert 3/5. Dividing 3 by 5 gives us 0.6.
For the eleventh fraction, 1/13, dividing 1 by 13 gives us approximately 0.0769.
Lastly, let's convert 1/8. Dividing 1 by 8 gives us 0.125.
Now that we have converted all the fractions to decimals, we can arrange them in ascending order:
0.0426, 0.0769, 0.125, 0.25, 0.4286, 0.4375, 0.6, 0.6667, 0.7, 0.75, 0.8333, 0.8889.
So, the fractions in ascending order are:
2/47, 1/13, 1/8, 1/4, 9/21, 7/16, 3/5, 2/3, 7/10, 3/4, 5/6, 8/9.