Solved Examples and Worksheet for Subtracting Mixed Numbers-Like Denominators

Q1Simplify the expression.
825 - 315
A. 515
B. 235
C. 615
D. 55

Solutions
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Step: 1
825 - 315
  [Original expression.]
Step: 2
= 515
  [Subtract the whole numbers. Subtract the fractions.]
Step: 3
825 - 315 = 515
Correct Answer is :   515
Q2Annie had 767 m of a ribbon from which Holly borrowed 537 m. How much ribbon is Annie left with?

A. 237 m
B. 137 m
C. 437 m
D. 337 m

Solutions
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Step: 1
Ribbon, Annie had = 767 m
Step: 2
Ribbon, Holly borrowed from Annie = 537 m
Step: 3
Remaining length of the Annie's ribbon = 767 - 537
Step: 4
= 237
  [Subtract the whole numbers and subtract the fractions.]
Step: 5
Remaining length of the Annie's ribbon is 237 m.
Correct Answer is :   237 m
Q3A milk can contains 778 liters of milk. Marissa took 318 liters of milk from the can. How much milk is left in the can?
A. 434
B. 37
C. 437
D. 34

Solutions
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Step: 1
Quantity of milk in the milk can = 778 liters
Step: 2
Quantity of milk Marissa took = 318 liters
Step: 3
Quantity of milk left in the can = total quantity of the milk in the can - quantity of milk Marissa took
Step: 4
= 778 - 318
  [Substitute the values.]
Step: 5
= 468
  [Subtract the whole numbers. Subtract the fractions.]
Step: 6
= 434
  [Divide both the numerator and the denominator of 68 by the common factor 2.]
Step: 7
Quantity of milk left in the can is 434 liters.
Correct Answer is :   434
Q4Simplify:
349 - 219

A. 134
B. 313
C. 113
D. 513

Solutions
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Step: 1
349 - 219
  [Original expression.]
Step: 2
= 3 - 2 + 49 - 19
  [Subtract the fractional part and the whole number part separately.]
Step: 3
= 1 + 4-19
  [Subtract the numerators.]
Step: 4
= 1 + 39
  [Subtract.]
Step: 5
We notice that 39 can be reduced. So we divide the numerator and the denominator of the fraction with their common factor, 3.
Step: 6
39 = 3÷39÷3 = 13
  [Simplify.]
Step: 7
So, 349 - 219 = 113.
Correct Answer is :   113
Q5Simplify the expression.
567 
- 347 

A. 127
B. 227
C. 47
D. 827

Solutions
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Step: 1
567 - 347.
  [Original expression.]
Step: 2
= 227
  [Subtract the whole numbers, subtract the fractions.]
Correct Answer is :   227
Q6Find.
559 - 119

A. 349
B. 449
C. 459
D. 549

Solutions
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Step: 1
559 - 119
  [Original expression.]
Step: 2
= 449
  [Subtract the whole numbers, subtract the fractions.]
Correct Answer is :   449
Q7Which of the following is the difference between the fractions 623 and 423?

A. 2
B. 4
C. 1
D. 3

Solutions
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Step: 1
623 - 423
  [Original expression.]
Step: 2
= 2
  [Subtract the whole numbers. Subtract the fractions.]
Correct Answer is :   2
Q8Subtract the mixed number 213 from the mixed number 623.

A. 523
B. 513
C. 423
D. 413

Solutions
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Step: 1
623 - 213
  [Original expression.]
Step: 2
= 413
  [Subtract the whole numbers. Subtract the fractions.]
Correct Answer is :   413
Q9Subtract the mixed fraction 337from the mixed fraction 767.

A. 437
B. 537
C. 337
D. 637

Solutions
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Step: 1
767 - 337
  [Original expression.]
Step: 2
= 437
  [Subtract the whole numbers. Subtract the fractions.]
Correct Answer is :   437
Q10Subtract the mixed fraction 335 from the mixed fraction 1445.
A. 1156
B. 1115
C. 1215
D. 1212

Solutions
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Step: 1
1445 - 335
  [Original expression.]
Step: 2
= 1115
  [Subtract the whole numbers. Subtract the fractions.]
Correct Answer is :   1115
Q11Subtract.
614 - 434
A. 134
B. 94
C. 214
D. 112

Solutions
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Step: 1
614 - 434
Step: 2
= (5 + 1 + 14) - (4 + 34)
Step: 3
= (5 - 4) + (1 + 14 - 34)
Step: 4
= 1+ (54 - 34)
  [1 + 14 = 44 + 14 = 54.]
Step: 5
= 1 + 24
Step: 6
= 1 + 12
Step: 7
= 112
Correct Answer is :   112

HighSchool Math