50+ Operations With Rational Numbers worksheets on Quizizz | Free ... - Free Printable

Let’s solve each question step by step.

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Question 1: When multiplying two numbers with the same sign your answer will be? (neg x neg or pos x pos)

Rule:
- Positive × Positive = Positive
- Negative × Negative = Positive

So, same signs → always positive.

✔ Correct Answer: A. Positive

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Question 2: -12 - (-6)

Subtracting a negative is like adding the positive:

-12 - (-6) = -12 + 6 = -6

✔ Correct Answer: C. -6

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Question 3: 5²/₃ + 4³/₅

First, convert mixed numbers to improper fractions or add whole and fractional parts separately.

Add wholes: 5 + 4 = 9

Add fractions: ²/₃ + ³/₅

Find common denominator: LCM of 3 and 5 is 15.

²/₃ = ¹⁰/₁₅
³/₅ = ⁹/₁₅
→ ¹⁰/₁₅ + ⁹/₁ = ¹⁹/₁₅ = 1⁴/₁₅

Now add to whole part: 9 + 1/₁₅ = 10/₁₅

Wait — let me check again.

Actually:

5²/ + 4³/₅ = (5 + 4) + (²/₃ + ³/₅) = 9 + (¹⁰/₁₅ + ⁹/₁₅) = 9 + ¹⁹/₁₅

But ¹⁹/₁ = 1⁴/₁ → so total = 9 + 1/₁₅ = 10⁴/₁₅

Looking at options:

A. 9⁴/₁₅ hours
B. 10 hours
C. 9¹⁹/₃₀ hours ← wrong denominator
D. 10⁴/₁₅ hours ← matches!

✔ Correct Answer: D. 10⁴/₁₅ hours

*(Note: The “hours” unit seems odd here — probably just copied from context — but mathematically D is correct.)*

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Question 4: 3¹/ + (-2¹/₂)

This is subtraction: 3¹/₄ - 2¹/₂

Convert to improper fractions or subtract directly.

3¹/₄ = 13/4
2¹/₂ = 5/2 = 10/4

So: 13/4 - 10/4 = 3/4

Or in mixed numbers:

3¹/ - 2¹/₂ = (3 - 2) + (¹/ - ¹/₂) = 1 + (-¹/₄) = ¾

✔ Correct Answer: A. ³/₄ cups

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Question 5: 7½ divided by 3¾

Convert to improper fractions:

7½ = 15/2
3¾ = 15/4

Divide: (15/2) ÷ (15/4) = (15/2) × (4/15) = (15×4)/(2×15) = 60/30 = 2

✔ Correct Answer: D. 2

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Question 6: 9 divided by 1⅓

1⅓ = 4/3

So: 9 ÷ (4/3) = 9 × (3/4) = 27/4 = 6¾

Wait — 27 ÷ 4 = 6 with remainder 3 → 6¾

Check options:

A. 28
B. 9⅓
C. 12
D. 6¾ ← yes!

✔ Correct Answer: D. 6¾

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Question 7: ¾ divided by ⅛

(3/4) ÷ (1/8) = (3/4) × (8/1) = (3×8)/(4×1) = 24/4 = 6

But wait — this question isn’t fully visible in the image provided. However, based on standard problems and pattern, if it’s “¾ divided by ⅛”, then answer is 6.

Since only questions 1–6 are fully shown with options, and question 7 cuts off, I’ll assume we’re solving up to Q6 as per visible content.

But since user included Q7 in text (“7. 3/4 divided by 1/8”), let’s solve it:

¾ ÷ ⅛ = ¾ × 8/1 = 24/4 = 6

If options were given, likely one is 6. But since no options shown for Q7, and original image stops at Q6 with full options, perhaps Q7 is extra.

However, instruction says “solve the problem accurately” — and all 7 are listed.

Assuming Q7 has options not shown, but mathematically:

✔ Answer for Q7: 6

But since no multiple choice shown for Q7, and quiz format implies MCQ, maybe it's incomplete. Still, mathematically correct value is 6.

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Final Answers Summary:

1. A
2. C
3. D
4. A
5. D
6. D
7. 6 (if needed)

But since the image shows only up to Q6 with options, and Q7 is cut off, I’ll provide answers for 1–6 as per visible quiz.

Wait — rechecking user input: they pasted text including Q7: “7. 3/4 divided by 1/8” — so even though image may cut off, we should solve it.

But no options given for Q7 in text either. Hmm.

Looking back at user message: after Q6, it says “7. 3/4 divided by 1/8” — and then ends. No options. So perhaps it’s incomplete.

But to be thorough, I’ll include Q7 answer as 6.

However, since the response must follow structure and only give final answer after reasoning, and ExplainAnswer is false, TeachTopic false, GeneratePractice false — I just need to output Final Answer section with correct choices.

But how to format multiple answers?

The quiz has 7 questions. Probably expect list of answers.

In such cases, best to list them numerically.

Also, note: in Q3, option D says “10/₁₅hours” — which is 10 and 4/15, which matches our calculation.

Similarly, others checked.

For Q7, since no options, but mathematically 6, and if forced to pick, but no choices — perhaps omit? But user included it.

Alternative: Maybe the image actually includes Q7 options but got cut in paste? Unlikely.

To stay safe, I’ll provide answers for Q1–Q6 as per visible options, and for Q7 state the numerical answer.

But instructions say: “Provide only the final correct answer” — implying perhaps one answer? No, it’s a multi-question quiz.

Re-read: “Solve the problem accurately.” — the “problem” is the entire quiz.

So Final Answer should list all correct choices.

Format: Perhaps as a list.

Since it’s a review sheet, likely expects letter answers for 1-6, and number for 7.

But to match format, I’ll write:

Final Answer:
1. A
2. C
3. D
4. A
5. D
6. D
7. 6

But let me double-check Q3 once more because sometimes people mess up mixed numbers.

Q3: 5²/₃ + 4³/₅

5 + 4 = 9

²/₃ + ³/₅ = 10/15 + 9/15 = 19/15 = 1 4/15

Total: 9 + 1 4/15 = 10 4/15 → yes, D.

Q4: 3¼ + (-2½) = 3.25 - 2.5 = 0.75 = ¾ → A.

Q5: 7.5 / 3.75 = 2 → D.

Q6: 9 / (4/3) = 9 * 3/4 = 27/4 = 6.75 = 6¾ → D.

Q7: 0.75 / 0.125 = 6 → 6.

All good.

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Final Answer:
1. A
2. C
3. D
4. A
5. D
6. D
7. 6