FRACTION SENSE & BENCHMARKS
Is 5/6 closest to 0, 1/2, or 1?
1
Fill in the missing number. 3/5 = ?/15
9
Write 3/4 as a decimal.
0.75
2/8 + 3/8
5/8
1/4 × 12
3
Which is larger, 1/8 or 1/4? Explain in one phrase.
1/4. A bigger denominator means smaller pieces, so eighths are smaller than fourths.
Simplify. 8/12
2/3
Write 0.6 as a fraction in simplest form
3/5
1/2 + 1/4
3/4
2/3 × 3/4
1/2
Four students equally share 3 granola bars. How much does each student get?
3/4 of a bar (3 ÷ 4 = 3/4)
Simplify to lowest terms: 30/40
3/4
Write 3/8 as a decimal 3/8
0.375
7/8 − 3/4
1/8
What is the reciprocal of 3/5 , and what does any number times its reciprocal equal?
5/3 product is 1
Order from least to greatest: 2/6, 5/6, 1/2
2/6, 1/2, 5/6 (2/6 = 1/3 ≈ 0.33, 1/2 = 0.5, 5/6 ≈ 0.83)
Find the GCF of 18 and 24, then simplify 18/24
GCF = 6, so 18/24 = 3/4
Write 0.45 as a fraction in simplest form.
9/20
2 1/4 − 3/4
1 1/2
3/8 ÷ 3/4
1/2
Error analysis. Lena says 1/6 is larger than 1/3 because 6 > 3. Do you agree? Explain.
No. When the numerator is 1, a larger denominator makes SMALLER pieces. The whole is cut into more parts, so 1/6 < 1/3
Error analysis / reasoning. Maya ate 6/8 of her candy bar and Jordan ate 5/10 of his. Did they eat the same amount? Explain.
No. 6/8 = 3/4 = 0.75 and 5/10 = 1/2 = 0.5. Maya ate more.
Error analysis. A student writes 3/5 = 3.5 . Is the student correct? Explain.
No. A fraction means the top divided by the bottom: 3/5 = 3 ÷ 5 = 0.6 , not 3.5.
Error analysis. Jordan says 1/4 + 2/4 = 3/8 because 1 + 2 = 3 and 4 + 4 = 8. Do you agree? Explain.
No. With the same denominator the pieces are already the same size, so you add only the numerators and keep the denominator:
1/4 + 2/4 = 3/4
A ribbon is 3/4 yard long. Each bracelet uses 1/8 yard. How many bracelets can be made?
6
(3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6)