# Fractions

Sort fractions
$z$1 =\dfrac{ 6}{ 11}; z2 =\dfrac{ 10}{ 21}; z3 =\dfrac{ 19}{ 22}
by its size. Result write as three serial numbers 1,2,3.

Result

n(z1):  2
n(z2):  1
n(z3):  3

#### Solution:

$z_1 =\dfrac{ 6}{ 11} = \dfrac{ 252}{ 462} = 0.545454545455 \ \\ z_2 =\dfrac{ 10}{ 21} = \dfrac{ 220}{ 462} = 0.47619047619 \ \\ z_3 =\dfrac{ 19}{ 22} = \dfrac{ 399}{ 462} = 0.863636363636 \ \\ \ \\ \dfrac{ 220 }{ 462} \leq \dfrac{ 252 }{ 462} \leq \dfrac{ 399 }{ 462} \ \\ \dfrac{ 10}{ 21} \leq \dfrac{ 6}{ 11} \leq \dfrac{ 19}{ 22}$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

## Next similar math problems:

1. Fraction and a decimal
Write as a fraction and a decimal. One and two plus three and five hundredths
2. Mixed2improper
Write the mixed number as an improper fraction. 166 2/3
3. Fraction to decimal
Write the fraction 3/22 as a decimal.
4. Zdeněk
Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
5. Denominator
Calculate the missing denominator x: ?
6. Rolls
Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls left when Peter yet put two at dinner?
7. Paper collecting
At the paper collecting contest gathered Franta 2/9 ton, Karel 1/4 ton, and Patrick 19/36 tons of paper. Who has gathered the most and the least?
8. Reduce to lowest terms
Reduce to lowest terms : 32/124
9. Cakes
On the bowl were a few cakes. Jane ate one-third of them, Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on thebowl?
10. Lengths of the pool
Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim?
11. In fractions
An ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?
12. Evaluate expression
Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2