Math practice worksheet featuring division, improper fractions, and mixed fractions.
Math worksheet with division problems, converting improper fractions to mixed fractions, and converting mixed fractions to improper fractions.
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Step-by-step solution for: Grade 5 Mathematics Annual Revision Paper 3 (Q& A) • Teacha!
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Mathematics Annual Revision Paper 3 (Q& A) • Teacha!
Let's solve each problem step by step.
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We'll solve the division problems using long division or simplification where possible.
#### 323. 2375 ÷ 95
- 95 × 24 = 2280
- 2375 - 2280 = 95 → 95 × 1 = 95
- So, 24 + 1 = 25
✔ Answer: 25
#### 324. 2072 ÷ 37
- 37 × 56 = 2072 (since 37×50=1850, 37×6=222 → 1850+222=2072)
✔ Answer: 56
#### 325. 2479 ÷ 67
- 67 × 37 = 2479 (67×30=2010, 67×7=469 → 2010+469=2479)
✔ Answer: 37
#### 326. 760 ÷ 19
- 19 × 40 = 760
✔ Answer: 40
#### 327. 4992 ÷ 52
- 52 × 96 = 4992 (52×100=5200, 52×4=208 → 5200−208=4992)
✔ Answer: 96
#### 328. 2635 ÷ 85
- 85 × 31 = 2635 (85×30=2550, 85×1=85 → 2550+85=2635)
✔ Answer: 31
#### 329. 3705 ÷ 95
- 95 × 39 = 3705 (95×40=3800, 3800−95=3705)
✔ Answer: 39
#### 330. 310 ÷ 31
- 31 × 10 = 310
✔ Answer: 10
#### 331. 324 ÷ 9
- 9 × 36 = 324
✔ Answer: 36
#### 332. 2176 ÷ 68
- 68 × 32 = 2176 (68×30=2040, 68×2=136 → 2040+136=2176)
✔ Answer: 32
#### 333. 511 ÷ 73
- 73 × 7 = 511
✔ Answer: 7
#### 334. 2226 ÷ 42
- 42 × 53 = 2226 (42×50=2100, 42×3=126 → 2100+126=2226)
✔ Answer: 53
#### 335. 945 ÷ 27
- 27 × 35 = 945 (27×30=810, 27×5=135 → 810+135=945)
✔ Answer: 35
#### 336. 204 ÷ 68
- 68 × 3 = 204
✔ Answer: 3
---
To convert an improper fraction to a mixed number:
- Divide numerator by denominator.
- Quotient = whole number.
- Remainder becomes numerator of fractional part.
- Denominator stays same.
#### 337. 34/5
- 34 ÷ 5 = 6 R4 → 6 4/5
#### 338. 10/4
- 10 ÷ 4 = 2 R2 → Simplify 2/4 → 1/2 → 2 1/2
#### 339. 29/6
- 29 ÷ 6 = 4 R5 → 4 5/6
#### 340. 10/3
- 10 ÷ 3 = 3 R1 → 3 1/3
#### 341. 6/4
- 6 ÷ 4 = 1 R2 → Simplify 2/4 → 1/2 → 1 1/2
#### 342. 18/5
- 18 ÷ 5 = 3 R3 → 3 3/5
#### 343. 34/4
- 34 ÷ 4 = 8 R2 → Simplify 2/4 → 1/2 → 8 1/2
#### 344. 55/6
- 55 ÷ 6 = 9 R1 → 9 1/6
#### 345. 47/8
- 47 ÷ 8 = 5 R7 → 5 7/8
#### 346. 29/3
- 29 ÷ 3 = 9 R2 → 9 2/3
#### 347. 39/5
- 39 ÷ 5 = 7 R4 → 7 4/5
#### 348. 31/4
- 31 ÷ 4 = 7 R3 → 7 3/4
#### 349. 27/4
- 27 ÷ 4 = 6 R3 → 6 3/4
#### 350. 53/6
- 53 ÷ 6 = 8 R5 → 8 5/6
#### 351. 79/8
- 79 ÷ 8 = 9 R7 → 9 7/8
#### 352. 40/6
- 40 ÷ 6 = 6 R4 → Simplify 4/6 → 2/3 → 6 2/3
#### 353. 33/4
- 33 ÷ 4 = 8 R1 → 8 1/4
#### 354. 11/3
- 11 ÷ 3 = 3 R2 → 3 2/3
#### 355. 14/8
- 14 ÷ 8 = 1 R6 → Simplify 6/8 → 3/4 → 1 3/4
#### 356. 21/4
- 21 ÷ 4 = 5 R1 → 5 1/4
---
To convert a mixed number to improper fraction:
- Multiply whole number × denominator.
- Add numerator.
- Place over original denominator.
#### 357. 9 6/8
- 9 × 8 = 72 + 6 = 78 → 78/8 → Simplify: 39/4
But since it asks for improper fraction, keep as 78/8, but usually simplified.
However, if not simplified: 78/8
Simplified: 39/4 → But let’s assume they want unsimplified unless specified.
So: 78/8
But better to simplify: 39/4 → Let's check what's expected.
Wait — in most cases, we write improper fraction in simplest form.
But here, just follow rule:
→ 9×8 + 6 = 72+6 = 78 → 78/8 → reduce: divide by 2 → 39/4
But unless asked, we can leave as 78/8.
But standard is to simplify.
So: 39/4
But let’s see: maybe they want it without reducing? Let's assume 78/8 is acceptable, but better to simplify.
I’ll provide simplified versions unless stated.
Let me proceed with simplified forms.
#### 357. 9 6/8
- 9×8 + 6 = 78 → 78/8 = 39/4
#### 358. 5 1/5
- 5×5 + 1 = 25 + 1 = 26 → 26/5
#### 359. 9 4/8
- 9×8 + 4 = 72 + 4 = 76 → 76/8 = 19/2
#### 360. 3 2/4
- 3×4 + 2 = 12 + 2 = 14 → 14/4 = 7/2
#### 361. 3 7/8
- 3×8 + 7 = 24 + 7 = 31 → 31/8
#### 362. 1 2/3
- 1×3 + 2 = 5 → 5/3
#### 363. 9 7/8
- 9×8 + 7 = 72 + 7 = 79 → 79/8
#### 364. 5 2/6
- 5×6 + 2 = 30 + 2 = 32 → 32/6 = 16/3
#### 365. 6 3/5
- 6×5 + 3 = 30 + 3 = 33 → 33/5
#### 366. 4 1/3
- 4×3 + 1 = 12 + 1 = 13 → 13/3
#### 367. 8 3/8
- 8×8 + 3 = 64 + 3 = 67 → 67/8
#### 368. 7 2/5
- 7×5 + 2 = 35 + 2 = 37 → 37/5
#### 369. 7 2/3
- 7×3 + 2 = 21 + 2 = 23 → 23/3
#### 370. 3 1/8
- 3×8 + 1 = 24 + 1 = 25 → 25/8
#### 371. 8 1/3
- 8×3 + 1 = 24 + 1 = 25 → 25/3
#### 372. 8 3/6
- 8×6 + 3 = 48 + 3 = 51 → 51/6 = 17/2
#### 373. 4 4/5
- 4×5 + 4 = 20 + 4 = 24 → 24/5
#### 374. 5 2/3
- 5×3 + 2 = 15 + 2 = 17 → 17/3
#### 375. 3 3/5
- 3×5 + 3 = 15 + 3 = 18 → 18/5
#### 376. 6 1/3
- 6×3 + 1 = 18 + 1 = 19 → 19/3
---
#### Division Problems:
323. 25
324. 56
325. 37
326. 40
327. 96
328. 31
329. 39
330. 10
331. 36
332. 32
333. 7
334. 53
335. 35
336. 3
---
#### Improper to Mixed:
337. 6 4/5
338. 2 1/2
339. 4 5/6
340. 3 1/3
341. 1 1/2
342. 3 3/5
343. 8 1/2
344. 9 1/6
345. 5 7/8
346. 9 2/3
347. 7 4/5
348. 7 3/4
349. 6 3/4
350. 8 5/6
351. 9 7/8
352. 6 2/3
353. 8 1/4
354. 3 2/3
355. 1 3/4
356. 5 1/4
---
#### Mixed to Improper:
357. 39/4
358. 26/5
359. 19/2
360. 7/2
361. 31/8
362. 5/3
363. 79/8
364. 16/3
365. 33/5
366. 13/3
367. 67/8
368. 37/5
369. 23/3
370. 25/8
371. 25/3
372. 17/2
373. 24/5
374. 17/3
375. 18/5
376. 19/3
---
Let me know if you'd like these formatted neatly for printing or copying!
---
Part 1: Division Problems
We'll solve the division problems using long division or simplification where possible.
#### 323. 2375 ÷ 95
- 95 × 24 = 2280
- 2375 - 2280 = 95 → 95 × 1 = 95
- So, 24 + 1 = 25
✔ Answer: 25
#### 324. 2072 ÷ 37
- 37 × 56 = 2072 (since 37×50=1850, 37×6=222 → 1850+222=2072)
✔ Answer: 56
#### 325. 2479 ÷ 67
- 67 × 37 = 2479 (67×30=2010, 67×7=469 → 2010+469=2479)
✔ Answer: 37
#### 326. 760 ÷ 19
- 19 × 40 = 760
✔ Answer: 40
#### 327. 4992 ÷ 52
- 52 × 96 = 4992 (52×100=5200, 52×4=208 → 5200−208=4992)
✔ Answer: 96
#### 328. 2635 ÷ 85
- 85 × 31 = 2635 (85×30=2550, 85×1=85 → 2550+85=2635)
✔ Answer: 31
#### 329. 3705 ÷ 95
- 95 × 39 = 3705 (95×40=3800, 3800−95=3705)
✔ Answer: 39
#### 330. 310 ÷ 31
- 31 × 10 = 310
✔ Answer: 10
#### 331. 324 ÷ 9
- 9 × 36 = 324
✔ Answer: 36
#### 332. 2176 ÷ 68
- 68 × 32 = 2176 (68×30=2040, 68×2=136 → 2040+136=2176)
✔ Answer: 32
#### 333. 511 ÷ 73
- 73 × 7 = 511
✔ Answer: 7
#### 334. 2226 ÷ 42
- 42 × 53 = 2226 (42×50=2100, 42×3=126 → 2100+126=2226)
✔ Answer: 53
#### 335. 945 ÷ 27
- 27 × 35 = 945 (27×30=810, 27×5=135 → 810+135=945)
✔ Answer: 35
#### 336. 204 ÷ 68
- 68 × 3 = 204
✔ Answer: 3
---
Part 2: Convert Improper Fractions to Mixed Numbers
To convert an improper fraction to a mixed number:
- Divide numerator by denominator.
- Quotient = whole number.
- Remainder becomes numerator of fractional part.
- Denominator stays same.
#### 337. 34/5
- 34 ÷ 5 = 6 R4 → 6 4/5
#### 338. 10/4
- 10 ÷ 4 = 2 R2 → Simplify 2/4 → 1/2 → 2 1/2
#### 339. 29/6
- 29 ÷ 6 = 4 R5 → 4 5/6
#### 340. 10/3
- 10 ÷ 3 = 3 R1 → 3 1/3
#### 341. 6/4
- 6 ÷ 4 = 1 R2 → Simplify 2/4 → 1/2 → 1 1/2
#### 342. 18/5
- 18 ÷ 5 = 3 R3 → 3 3/5
#### 343. 34/4
- 34 ÷ 4 = 8 R2 → Simplify 2/4 → 1/2 → 8 1/2
#### 344. 55/6
- 55 ÷ 6 = 9 R1 → 9 1/6
#### 345. 47/8
- 47 ÷ 8 = 5 R7 → 5 7/8
#### 346. 29/3
- 29 ÷ 3 = 9 R2 → 9 2/3
#### 347. 39/5
- 39 ÷ 5 = 7 R4 → 7 4/5
#### 348. 31/4
- 31 ÷ 4 = 7 R3 → 7 3/4
#### 349. 27/4
- 27 ÷ 4 = 6 R3 → 6 3/4
#### 350. 53/6
- 53 ÷ 6 = 8 R5 → 8 5/6
#### 351. 79/8
- 79 ÷ 8 = 9 R7 → 9 7/8
#### 352. 40/6
- 40 ÷ 6 = 6 R4 → Simplify 4/6 → 2/3 → 6 2/3
#### 353. 33/4
- 33 ÷ 4 = 8 R1 → 8 1/4
#### 354. 11/3
- 11 ÷ 3 = 3 R2 → 3 2/3
#### 355. 14/8
- 14 ÷ 8 = 1 R6 → Simplify 6/8 → 3/4 → 1 3/4
#### 356. 21/4
- 21 ÷ 4 = 5 R1 → 5 1/4
---
Part 3: Convert Mixed Numbers to Improper Fractions
To convert a mixed number to improper fraction:
- Multiply whole number × denominator.
- Add numerator.
- Place over original denominator.
#### 357. 9 6/8
- 9 × 8 = 72 + 6 = 78 → 78/8 → Simplify: 39/4
But since it asks for improper fraction, keep as 78/8, but usually simplified.
However, if not simplified: 78/8
Simplified: 39/4 → But let’s assume they want unsimplified unless specified.
So: 78/8
But better to simplify: 39/4 → Let's check what's expected.
Wait — in most cases, we write improper fraction in simplest form.
But here, just follow rule:
→ 9×8 + 6 = 72+6 = 78 → 78/8 → reduce: divide by 2 → 39/4
But unless asked, we can leave as 78/8.
But standard is to simplify.
So: 39/4
But let’s see: maybe they want it without reducing? Let's assume 78/8 is acceptable, but better to simplify.
I’ll provide simplified versions unless stated.
Let me proceed with simplified forms.
#### 357. 9 6/8
- 9×8 + 6 = 78 → 78/8 = 39/4
#### 358. 5 1/5
- 5×5 + 1 = 25 + 1 = 26 → 26/5
#### 359. 9 4/8
- 9×8 + 4 = 72 + 4 = 76 → 76/8 = 19/2
#### 360. 3 2/4
- 3×4 + 2 = 12 + 2 = 14 → 14/4 = 7/2
#### 361. 3 7/8
- 3×8 + 7 = 24 + 7 = 31 → 31/8
#### 362. 1 2/3
- 1×3 + 2 = 5 → 5/3
#### 363. 9 7/8
- 9×8 + 7 = 72 + 7 = 79 → 79/8
#### 364. 5 2/6
- 5×6 + 2 = 30 + 2 = 32 → 32/6 = 16/3
#### 365. 6 3/5
- 6×5 + 3 = 30 + 3 = 33 → 33/5
#### 366. 4 1/3
- 4×3 + 1 = 12 + 1 = 13 → 13/3
#### 367. 8 3/8
- 8×8 + 3 = 64 + 3 = 67 → 67/8
#### 368. 7 2/5
- 7×5 + 2 = 35 + 2 = 37 → 37/5
#### 369. 7 2/3
- 7×3 + 2 = 21 + 2 = 23 → 23/3
#### 370. 3 1/8
- 3×8 + 1 = 24 + 1 = 25 → 25/8
#### 371. 8 1/3
- 8×3 + 1 = 24 + 1 = 25 → 25/3
#### 372. 8 3/6
- 8×6 + 3 = 48 + 3 = 51 → 51/6 = 17/2
#### 373. 4 4/5
- 4×5 + 4 = 20 + 4 = 24 → 24/5
#### 374. 5 2/3
- 5×3 + 2 = 15 + 2 = 17 → 17/3
#### 375. 3 3/5
- 3×5 + 3 = 15 + 3 = 18 → 18/5
#### 376. 6 1/3
- 6×3 + 1 = 18 + 1 = 19 → 19/3
---
✔ Final Answers:
#### Division Problems:
323. 25
324. 56
325. 37
326. 40
327. 96
328. 31
329. 39
330. 10
331. 36
332. 32
333. 7
334. 53
335. 35
336. 3
---
#### Improper to Mixed:
337. 6 4/5
338. 2 1/2
339. 4 5/6
340. 3 1/3
341. 1 1/2
342. 3 3/5
343. 8 1/2
344. 9 1/6
345. 5 7/8
346. 9 2/3
347. 7 4/5
348. 7 3/4
349. 6 3/4
350. 8 5/6
351. 9 7/8
352. 6 2/3
353. 8 1/4
354. 3 2/3
355. 1 3/4
356. 5 1/4
---
#### Mixed to Improper:
357. 39/4
358. 26/5
359. 19/2
360. 7/2
361. 31/8
362. 5/3
363. 79/8
364. 16/3
365. 33/5
366. 13/3
367. 67/8
368. 37/5
369. 23/3
370. 25/8
371. 25/3
372. 17/2
373. 24/5
374. 17/3
375. 18/5
376. 19/3
---
Let me know if you'd like these formatted neatly for printing or copying!
Parent Tip: Review the logic above to help your child master the concept of grade 5 math.