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Fractions Multistep

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  • There are 1200 people at a concert. 1/4 are adults. 3/5 of the children are girls. How many boys are there?
    360 boys
  • Sam read 1/6 of a book on Monday, 3/8 on Tuesday, and still has 44 pages left to read. How many pages are in the entire book?
    96 pages
  • A bakery produced 720 cookies. 2/3 of them were chocolate chip. Of the remaining cookies, 1/4 were oatmeal raisin, and the rest were peanut butter. How many peanut butter cookies did the bakery produce?
    180
  • There are 420 people in a school. 1/7 are staff. There are twice as many boys as girls. How many boys are there?
    240
  • A water tank lost 1/5 of its volume due to a leak on the first day and 1/10 on the second day. If the tank currently holds 70 litres of water, what is the full capacity of the tank?
    100 litres
  • A gardener planted 480 flower bulbs. 1/6 were tulips, and 5/8 of the remainder were daffodils. The rest were crocuses. How many crocus bulbs did the gardener plant?
    150
  • During a family picnic, 1/4 of the juice was drunk in the first hour, and 5/12 was consumed in the second hour. If 1 litres of juice was left over, how many liters of juice did the family start with?
    3 litres
  • A child gave 2/7 of their marbles to their friend and 1/5 of the marbles to their sibling. If they had 36 marbles left, how many marbles did they have to begin with?
    70 marbles
  • A student spends 1/3 of their study time on math, 1/4 on science, and the remaining 50 minutes on history. How many total minutes does the student study?
    120 minutes/ 2 hours
  • A gardener used 3/10 of their land to plant tomatoes and 1/4 to plant peppers. The remaining 27 square meters of land are used for herbs. What is the total area of the gardener's land?
    60 square metres
  • In a large bag of trail mix, 1/4 of the mix is nuts, and 3/5 is dried fruit. The rest of the mix is chocolate chips, which weighs 600 grams. What is the total weight of the trail mix?
    4000g / 4 kg
  • At a party, 1/2 of a pizza was eaten by adults and 1/5 was eaten by children. If 3 slices of pizza remain, how many slices was the pizza cut into initially?
    10
  • A farmer has 900 animals. 1/5 are goats, and the rest are sheep. Of the sheep, the ratio of male to female is 3:2. How many female sheep does the farmer have?
    288
  • A group of 1,000 tourists visited a landmark. 3/10 were from North America. Of the tourists who were not from North America, the ratio of European to Asian tourists was 4:1. How many Asian tourists visited the landmark?
    140
  • There are 1,500 books in a library. 2/5 are fiction, and the rest are non-fiction. Of the non-fiction books, 3/4 are reference books. How many non-fiction books are not reference books?
    225
  • I spent 1/4 of my money on peanuts and 1/3 on pickles. I had $35 left. How much money did I have at first?
    $84
  • A teacher gave 1/4 of a bag of candy to Group A, 1/6 to Group B, and 1/8 to Group C. If there are 33 pieces of candy left in the bag, how many pieces did the bag originally contain?
    72 pieces
  • A factory produced 1,800 toy cars last month. 5/9 were red, and the rest were blue. Of the blue cars, 2/5 had four doors, and the remaining blue cars had two doors. How many blue cars had two doors?
    480
  • An art school has 360 students. 5/12 are enrolled in painting classes. Of the students who are not in painting classes, 2/7 are in sculpture, and the rest are in ceramics. How many students are in ceramics?
    150
  • A ship has a crew of 280 people. 5/7 of the crew are experienced sailors. Of the inexperienced crew members, there are 3 women for every 1 man. How many inexperienced crew members are men?
    20
  • A total of 2,500 tickets were sold for a play. 1/5 were purchased online, and the rest were bought at the box office. Of the box office tickets, 2/5 were for the evening show, and the remainder were for the matinee. How many tickets were so
    1200
  • A train is carrying 640 passengers. 3/8 of the passengers are travelling first class. Of the passengers in second class, 1/8 are standing and the rest are seated. How many second class passengers are seated?
    350
  • A worker spends 1/3 of their monthly salary on rent and 2/9 on food. If they manage to save $800, what is their total monthly salary?
    $1800