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)

Correct answer:

d =  72
n =  12
f =  0.1667

Step-by-step explanation:


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

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

d = 72
n = 12

Our linear equations calculator calculates it.
f=n/d=12/72=16=0.1667

Try another example


We will be pleased if You send us any improvements to this math problem. Thank you!






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

1 year ago  1 Like
avatar









Tips to related online calculators
Need help to 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 a quadratic equation?

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

Related math problems and questions:

  • Reducing scale
    map_mo I am sizing some landscaping and I measured everything for a 20 to 1 scale. I realized when I was done that it was at 30 to 1. How can I convert what I already have to 30 to 1. (Example, grass area is 22,871.6' at 20 to 1, how do you figure it out to be 3
  • Find unknown 2
    fractions Find unknown denominator: 2/3 -5/? = 1/4
  • Fraction of a Number
    fractal If 1/2 of 1/3 of 1/4 of 1/5 of a number is 2.5. what is the number?
  • Mixed numbers
    zlomky_10 Rewrite mixed numbers, so the fractions have the same denominator: 5 1/5 - 2 2/3
  • Simplest form
    expr Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power.
  • LCD 2
    zlomky_6 The least common denominator of 2/5, 1/2, and 3/4
  • Simplify 3
    fractal_14 Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution.
  • Michael
    chocholate Michael had a bar if chocolate. He ate 1/2 of it and gave away 1/3. What fraction had he left?
  • To improper fraction
    fractal_15 Change mixed number to improper fraction a) 1 2/15 b) -2 15/17
  • Shirts
    skola_3 In a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 36 students in the class. How many students are wearing a shirt other than blue or white?
  • Equation
    fractions Find x: x + 1/2 = 1/3
  • What is one third
    decimals What is 1/3 as a decimal? Give your answer rounded to 2 decimal places.
  • A fraction
    fractions_2 I think of a fraction, if we increase its numerator and denominator by one, the value of the fraction increases by one tenth, what fraction do I think?
  • Ratio three numbers
    suv Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
  • Equation
    eq Solve equation and check the result: 1.4x - 3/2 + x - 9,8 = x + 0,4/3 - 7 + 1,6/6
  • Adding mixed numerals
    zlomky_18 3 3/4 + 2 3/5 + 5 1/2 Show your solution.
  • Divide 11
    plusminus_1 Divide the product of 4 and 5/8 by 1 1/2. Write your answer as a mixed number.