About this game

Fractions as division

Fractions as division: a free Grade 5 math game for ages 10-11. Kids match a division like 3 ÷ 4 to the fraction it makes. Each round brings 10 fresh questions with new numbers; instructions are read aloud and every answer is checked.

How it plays and why it helps

Three pizzas shared by four friends: each friend gets three fourths of a pizza. Fractions as division turns that idea into a short question, such as which fraction is equal to 3 ÷ 4, with three fractions to choose from. Ten cards make a round in this Grade 5 game, the numbers from 1 to 9 drawn fresh for each card, so a repeat can turn up. Your child taps the matching fraction, and each tap is checked.

The fraction bar is a division sign. The number being divided goes on top and the number you divide by goes underneath, which is what the hint says. That reading also makes sense of fractions bigger than 1: 9 ÷ 5 is 9/5, a little under 2. Seeing a fraction as a division ties two big Grade 5 ideas together.

Upside-down fractions are the trap. For 3 ÷ 6, the choice 6/3 sits beside 3/6, the same numbers flipped, with 3/9 there as well. Ask, "Which number is being shared: 3 or 6?" The shared number goes on top. End with, "You put the shared amount on top."

Aligned with

  • 5.NF.B.3 Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

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