Fraction Fix‑Ups
This is the unit fraction that appears seven times when you break 7⁄6 into equal parts.
What is
1/6
?
⅜ + 2⁄8 equals this simplified fraction.
What is 5⁄8?
Give the product of 2 × 3/8.
What is 6/8?
Express 4⁄10 as an equivalent fraction with denominator 100.
What is 40⁄100?
Finny drinks 3⁄8 cup Monday and 6⁄8 cup Friday. How much more on Friday?
What is 3⁄8 cup?
Rewrite 1 ⅝ as a sum that uses exactly two addends, one whole number and one fraction.
What is 1 + 5⁄8?
Take 6 away from 6 ¾; what number remains?
What is 3⁄4?
Give the product of 3 × 3⁄4.
What is 2 ¼ (or 9⁄4)?
Which of these has no equivalent in tenths: 62⁄100 or 125⁄100?
What is 62⁄100?
(its numerator isn’t a multiple of 10)
Henry waters Finny with 1⁄3 cup eight times. How many cups total?
What is 2 ⅔ cups?
Give one different decomposition of 6⁄4 besides 4⁄4 + 2⁄4.
What is 1⁄4 + 5⁄4? (any valid alternative)
2 ⅛ − 5⁄8 equals this difference.
What is 1 ½?
Henry fills five jars with ¾ cup of soil each. How many cups is that?
What is 3 ¾ cups?
Add 2⁄10 + 60⁄100; give the sum in simplest tenths.
What is 4⁄5 (or 8⁄10)?
Finny’s pot holds 2 ¼ cups of soil. Henry removes 5⁄4 cups. How much remains?
What is 1 cup?
Show an equation that decomposes 2 ⅔ into a sum of only unit fractions.
What is 1 + 1 + 1⁄3 + 1⁄3 = 2 ⅔?
Finish the story: Henry had 4 cups of water, poured ¼ cup on Finny five times, and emptied the rest. How much water did Finny not get?
What is 2 ¾ cups?
Write two different but equivalent expressions that both have the value 12⁄5.
What are 3 × 4⁄5 and 12 × 1⁄5?
Find the missing addend: 6⁄10 + __⁄100 = 99⁄100.
What is 39⁄100?
Henry records Finny’s height gain: 2⁄10 m in March and 35⁄100 m in April. Total gain?
What is 11⁄20 m or 55/100 or 0.55 m?
True or False: every non‑unit fraction can be decomposed in more than one way. Justify with an example or counter‑example.
What is True?
Example: 3⁄4 = 1⁄2 + 1⁄4 or 1⁄4 + 1⁄4 + 1⁄4
Create a subtraction equation with like denominators whose result is 3 ⅜.
What is 5 7⁄8 − 2 4⁄8 = 3 ⅜?
(many answers possible)
Explain why 7 × 1⁄6 and 1 × 7⁄6 are equal.
They both count seven one‑sixth‑size pieces, so each equals 7⁄6.
Three‑addend challenge: 4⁄100 + 7⁄10 + 26⁄100 = ? (answer as a mixed number).
What is 1?
Finny’s shadow grows from 1 ⅞ ft to 3 ⅝ ft. By what fraction of a foot did it lengthen?
What is 1 ¾ feet?