Which fraction is NOT equivalent to 2/5? — 10/30.10/30 = 1/3, not 2/5. The others: 4/10=2/5, 6/15=2/5, 8/20=2/5.
Order from least to greatest: 5/12, 3/8, 7/16 — 3/8, 5/12, 7/16.LCD=48: 5/12=20/48, 3/8=18/48, 7/16=21/48. Order: 18<20<21 → 3/8 < 5/12 < 7/16.
A class fraction activity: 7/9 of students passed. Express an equivalent fraction with denominator 63. — 49/63.7/9 = 7×7/9×7 = 49/63.
Which pair of fractions requires finding LCD to compare? (A) 3/7 and 5/7 (B) 4/9 and 4/11 (C) 5/8 and 3/4 (D) 6/6 and 1/1 — C.5/8 and 3/4 have different numerators AND denominators, so you need a common denominator to compare them. (3/4=6/8, so 3/4>5/8.)
A recipe uses 3/4 cup sugar. Another uses 5/6 cup. Which needs more sugar? — 5/6.LCD=12: 3/4=9/12, 5/6=10/12. 10/12 > 9/12, so 5/6 recipe needs more.
Find n: n/20 = 3/4 — 15.3/4 = 3×5/4×5 = 15/20. So n = 15.
Which of the following is in simplest form? — 5/7.5/7: GCF(5,7)=1, already in simplest form. The others can be simplified (all share common factors).
Why does the denominator NOT change when adding fractions with like denominators? — The denominator represents the piece SIZE, which stays constant when combining pieces of the same size.Denominator = "how many equal pieces make a whole" (piece size). When you combine same-size pieces, the size of each piece does not change!
3/4 + 5/4 − 2/4 = ? — Both A and B.3+5−2=6; 6/4. Simplify: 6/4 = 3/2 = 1 1/2. 6/4 and 1 1/2 are both correct.
A total of 1 whole = ?/8 — 8/8.1 whole = 8/8. All 8 equal eighths make one complete whole.
Maria uses 3/5 of flour and then 4/5 more. She started with 2 cups. How many cups did she use in total? — 1 2/5 cups.3/5 + 4/5 = 7/5. As a mixed number: 7/5 = 1 2/5 cups.
Which subtraction has a result of exactly 1/2 with denominator 10? — 8/10 − 3/10.8/10 − 3/10 = 5/10. And 5/10 = 1/2. That equals exactly 1/2!
Subtract: 10/6 − 4/6 = ? Simplify. — Both A and C.10/6 − 4/6 = 6/6 = 1 whole. All of A and C describe the same value!
Joe drank 2/5 of a bottle and Lily drank 4/5 of the same bottle. Is that possible? — Yes: 2/5 + 4/5 = 6/5 > 1, meaning they drank more than the bottle.2/5 + 4/5 = 6/5 = 1 1/5. That is MORE than one bottle — impossible unless drinking from different bottles! The sum can exceed 1.
Convert 20/6 to a mixed number in SIMPLEST form. — 3 1/3.20÷6=3 r2, so 3 2/6. Simplify 2/6 = 1/3. Answer: 3 1/3.
Add: 3 5/6 + 2 5/6 = ? — 6 5/6.Whole: 3+2=5. Fractions: 5/6+5/6=10/6=1 4/6=1 2/3. Total: 5+1 2/3=6 2/3. Wait — let me recalculate. 6 2/3 = choice C. Hmm, but choice A says 6 5/6. Let me recheck: 5 + 10/6 = 5 + 1 4/6 = 6 4/6 = 6 2/3. So C is correct.
Which conversion is WRONG? A: 3 1/4 = 13/4; B: 2 2/3 = 8/3; C: 5 1/2 = 11/2; D: 4 3/5 = 22/5 — C.5 1/2: (5×2)+1=11. So 11/2 ✓. Let me re-examine: A:(3×4)+1=13 ✓; B:(2×3)+2=8 ✓; C:(5×2)+1=11 ✓; D:(4×5)+3=23, not 22. D is WRONG!
Two improper fractions: 15/4 and 19/6. Which is larger? — 15/4.15/4 = 3 3/4 = 3.75; 19/6 = 3 1/6 ≈ 3.17. 15/4 > 19/6.
A board is 7 3/8 feet. You cut off 2 5/8 feet. What remains? — 4 3/4.7 3/8 − 2 5/8: borrow from whole: 6 11/8 − 2 5/8 = 4 6/8 = 4 3/4.
5 × (7/10) = ? in simplest form. — All of the above.5 × 7 = 35; 35/10 = 7/2 = 3 1/2. All three are equivalent forms!
Which is closest to 10 when you compute n × (4/5)? — n = 12.We need 4n/5 ≈ 10, so n ≈ 50/4 = 12.5. So n = 12 gives 12×4/5 = 48/5 = 9.6, and n=13 gives 52/5 = 10.4. n=12 is closer to 10.
A train moves 3/4 mile per minute. How far in 20 minutes? — Both A and B.20 × (3/4) = 60/4 = 15 miles. A and B are both correct!
If n × (2/9) = 10, what is n? — 45.n × 2/9 = 10 → n = 10 × 9/2 = 90/2 = 45.
A school buys 24 boxes of crayons. Each box is 3/4 full. How many "full boxes" worth of crayons do they have? — 18.24 × (3/4) = 72/4 = 18 full boxes worth.
100 × (7/8) = ? — Both B and C.100 × 7 = 700; 700/8 = 87.5. B and C are equivalent!
Which of these equals exactly 6? — All of them.8×3/4=24/4=6 ✓; 9×2/3=18/3=6 ✓; 10×3/5=30/5=6 ✓. All equal 6!
A worker packs 5/6 of a box per hour. How many full boxes in 18 hours? — Both A and B.18 × (5/6) = 90/6 = 15 boxes. A and B are the same!
Why is multiplying by a fraction LESS than 1 always smaller than the original number? — Because fractions < 1 represent a part of something, so you get less.Multiplying by a fraction < 1 (like 3/4) gives you only PART of the original — less than what you started with!
A bag of rice weighs 2.45 kg. What fraction of a kg is the 0.45 part? — 45/100.0.45 = 45/100. (It also simplifies to 9/20, but 45/100 is the direct decimal-to-fraction form.)
Which number line shows 0.75 correctly placed between 0 and 1? — Closer to 1.0.75 = 3/4. It is 3/4 of the way from 0 to 1, so closer to 1.
A sticker is 0.08 m wide. Express this in cm (1 m = 100 cm). — 8 cm.0.08 m × 100 = 8 cm.
What is 0.3 × 10? — 3.Multiplying a decimal by 10 shifts the decimal point one place right: 0.3 × 10 = 3.
Which two decimals sum to exactly 1? (A) 0.4 + 0.6 (B) 0.35 + 0.75 (C) 0.5 + 0.55 (D) 0.25 + 0.65 — A and D.0.4+0.6=1.0 ✓ and 0.25+0.65=0.90 ✗. Only A is correct. Wait — 0.25+0.75=1.0 but option D is 0.25+0.65=0.90. So only A.
Write four and three hundredths as a decimal. — 4.03.Four and three hundredths = 4.03. Four is the whole number; three hundredths uses the hundredths place.
A sprinter ran 9.84 seconds. What is the value of the 8 in 9.84? — 0.8.In 9.84, the 8 is in the tenths place: 8 × 0.1 = 0.8.
Which fraction equals 0.04? — Both B and C.0.04 = 4/100 = 2/50 = 1/25. Both B and C are correct.