#### Solved Examples and Worksheet for Subtracting Mixed Numbers-Like Denominators

Q1Simplify the expression.
825 - 315

A. 515
B. 235
C. 615
D. 55

Step: 1
825 - 315
[Original expression.]
Step: 2
= 515
[Subtract the whole numbers. Subtract the fractions.]
Step: 3
825 - 315 = 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

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

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.
Q4Simplify:
349 - 219

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

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.
Q5Simplify the expression.
 567 - 347

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

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

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

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

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

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

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

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

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

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

Step: 1
1445 - 335
[Original expression.]
Step: 2
= 1115
[Subtract the whole numbers. Subtract the fractions.]
Q11Subtract.
614 - 434

A. 134
B. 94
C. 214
D. 112

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