Guess a fraction

Tom was asked to guess a fraction. The sum of 1/2 the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in simplest form)

Result

d =  72
n =  12
f =  0.167

Solution:


n/2+d/3=30
n= (d-36)/3

2d+3n = 180
d-3n = 36

d = 72
n = 12

Calculated by our linear equations calculator.
f=n/d=12/72160.16670.167f=n/d=12/72 \doteq \dfrac{ 1 }{ 6 } \doteq 0.1667 \doteq 0.167



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...):

Showing 1 comment:
#
Math student
can say in a simpler form

avatar









Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  1. Write 2
    fractions_12 Write 791 thousandths as fraction in expanded form.
  2. Find unknown
    eq222_26 Find unknown numerator: 4/8 + _/8 = 1
  3. Trees
    jablone_9 From the total number of trees in the orchard, there are two-fifths pearls and apples are three eighty. The rest of the trees are 9 ceremonial. How many trees are in the set?
  4. Unknown number 6
    bonbons_7 Determine x if 1/6 of x is equal to 2/5 of the number 24.
  5. Equation 15
    eq222_4 Solve equation with variables on both sides:
  6. Number
    Zet I think the number. If I add to its third seven I get same as when to its quarter add 8. Which is the number?
  7. Lengths of the pool
    bazen2_16 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?
  8. Trees
    stromy2 3/5 trees are apples, cherries are 1/3. 5 trees are pear. How many is the total number of trees?
  9. Unknown number
    fractions_6 I think the number - its sixth is 3 smaller than its third.
  10. The buns
    buhty Kate, Zofia and Peter Liked buns. Even today, their grandmother prepare their favorite meal. Katka eats 4 bunches, Žofia 3 and Petra eats 5 buns. Their grandmother said to them, "My inmate will you know how many buns I have been make today, if those you e
  11. In fractions
    ant 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. Passenger boat
    boy_4 Two-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there?
  13. Equation 20
    eq222_21 In given equation: 8/9-4/5=2/9+x, find x
  14. Fruits
    jablka_15 Amy bought a basket of fruits 1/5 of them were apples,1/4 were oranges, and the rest were 33 bananas. How many fruits did she buy in all?
  15. Unknown number
    zlomky_19 I think the number. I'll reduce it to its one-third. The result is then increased by one-third, and I get the number 12.
  16. Simple equation
    axes_1 Solve for x: 3(x + 2) = x - 18
  17. Simple equation
    eq_1 Solve the following simple equation: 2. (4x + 3) = 2-5. (1-x)