Solved Examples and Worksheet for Application of Subtracting Fractions-Like Denominators

Q1The railway department has to repair a track of length 1511 mi. They repaired 211 of a mile in a week. Find the length of the track yet to be repaired.

A. 1311 mi
B. 1711 mi
C. 1211 mi
D. 1113 mi

Solutions
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Step: 1
The length of the track has to be repaired = the total length of the track that has to be repaired - the length of the track that was repaired.
Step: 2
= 1511 - 211
  [Substitute the values.]
Step: 3
= 15-211
  [Write the difference over the common denominator.]
Step: 4
= 1311
  [Subtract the numerators.]
Step: 5
1311 miles of the track has to be repaired.
Correct Answer is :   1311 mi
Q2Francis can run 25 of a mile in 10 minutes. Andrew can run 45 of a mile in 10 minutes. Find the fraction of miles Andrew can run more than Francis could.

A. 52
B. 25
C. 65
D. 15

Solutions
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Step: 1
The fraction of miles that Andrew can run more than that of Francis = the distance that Andrew can run - the distance that Francis can run.
Step: 2
= 45 - 25
  [Substitute the values.]
Step: 3
= 4-25
  [Write the difference over the common denominator.]
Step: 4
= 25
  [Subtract the numerators.]
Step: 5
Andrew runs 25 miles more than that of Francis.
Correct Answer is :   25
Q3Bill ate 57 apples and Ed ate 157 apples. How much more did Ed eat than Bill?
A. 207
B. 97
C. 107
D. 1110

Solutions
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Step: 1
The difference between the number of apples they ate = 157 - 57
Step: 2
= 15 - 57
  [Write the difference over the common denominator.]
Step: 3
= 107
  [Subtract the numerators.]
Step: 4
So, Ed ate 107 of the apple more than Bill.
Correct Answer is :   107
Q4Tanya bought two candles. The height of one candle is 67 of an inch and the height of the other candle is 37 of an inch. What is the difference between the heights of the candles?
A. 1849 inch
B. 37 inch
C. 27 inch
D. 914 inch

Solutions
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Step: 1
The difference between the heights of the two candles = the height of the first candle - the height of the second candle.
Step: 2
= 67 - 37
  [Substitute the values.]
Step: 3
= 6-37
  [Write the difference over the common denominator.]
Step: 4
= 37
  [Subtract the numerators.]
Step: 5
The difference between the heights of the two candles is 37 inch.
Correct Answer is :   37 inch
Q5Jeff walked a distance of 149 miles and Nathan walked a distance of 109 miles in the same time. Find the difference between the distances traveled by them.

A. 59 miles
B. 12 miles
C. 49 miles
D. 25 miles

Solutions
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Step: 1
The difference between the distance traveled by Jeff and Nathan = distance traveled by Nathan - distance traveled by Jeff
Step: 2
= 149 - 109
  [Substitute the values.]
Step: 3
= 14-109
  [Write the difference over the common denominator.]
Step: 4
= 49
  [Subtract the numerators.]
Step: 5
The difference between the distances traveled by Jeff and Nathan is 49 miles.
Correct Answer is :   49 miles
Q6In a golf course, the ball hit by Edward traveled a distance of 787 feet and the ball hit by Joe traveled a distance of 857 feet. Find the difference between the distances traveled by the balls.

A. 79 feet
B. 78 feet
C. 2 feet
D. 1 feet

Solutions
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Step: 1
The difference between the distance traveled by the 2 balls = the distance traveled by the ball hit by Joe - the distance traveled by the ball hit by Edward
Step: 2
= 857 - 787
  [Substitute the values.]
Step: 3
= 85-787
  [Write the difference over the common denominator.]
Step: 4
= 77
  [Subtract the numerators.]
Step: 5
= 1
  [Divide both the numerator and the denominator by 7.]
Step: 6
The difference between the distances traveled by the two balls is 1 feet.
Correct Answer is :   1 feet
Q7Tony made two model ships and named them as Titanic and Spark. The weight of Titanic was 163 lb and that of Spark was 133 lb. What is the difference between their weights?
A. 1 lb
B. 293 lb
C. 2 lb
D. 2089 lb

Solutions
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Step: 1
The difference between the weights of Titanic and Spark = the weight of Titanic - the weight of Spark.
Step: 2
= 163 - 133
  [Subtract the values.]
Step: 3
= 16-133
  [Write the difference over the common denominator.]
Step: 4
= 33
  [Subtract the numerators.]
Step: 5
= 1
  [Simplify.]
Step: 6
The difference between the weights of Titanic and Spark was 1 lb.
Correct Answer is :   1 lb
Q8Jimmy and Tony participated in a meatball eating competition. Jimmy ate 65 lb of meatballs and Tony ate 95 lb of meatballs. What is the difference between the weights of the meatballs they ate?

A. 35 lb
B. 1 lb
C. 34 lb
D. 65 lb

Solutions
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Step: 1
The difference between the weights of the meatballs Jimmy and Tony ate = the weight of the meatballs that Tony ate - the weight of the meatballs that Jimmy ate.
Step: 2
= 95 - 65
  [Substitute the values.]
Step: 3
= 9-65
  [Write the difference over the common denominator.]
Step: 4
= 35
  [Subtract the numerators.]
Step: 5
The difference between the weights of the meatballs that Jimmy and Tony ate is 35 lb.
Correct Answer is :   35 lb
Q9Arthur is moving to a new place. He packs his luggage in two cartons. Carton-A weighs 227lb and carton-B weighs 1027lb. How much more does carton-B weigh more than carton-A ?
A. 827lb
B. 727 lb
C. 1227 lb
D. 2027lb

Solutions
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Step: 1
Weight of carton-B more than carton-A = weight of carton-B - weight of carton-A
Step: 2
= 1027- 227
  [Substitute the values.]
Step: 3
= 10-227
  [Write the difference over the common denominator.]
Step: 4
= 827
  [Subtract the numerators.]
Step: 5
Carton-B weighs 827 lb more than carton-A.
Correct Answer is :   827lb
Q10Wilma bought two ropes. The length of one rope is 137 inches and the length of the other rope is 87 inches. What is the difference between their lengths?
A. 57 inches
B. 75 inches
C. 87 inches
D. 65 inches

Solutions
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Step: 1
The difference between the lengths of the two ropes = 137- 87
Step: 2
= (13-8)7
  [Write the difference over the common denominator.]
Step: 3
= 57
Step: 4
So, the difference between the lengths is 57 inches.
Correct Answer is :   57 inches

HighSchool Math