Add: 1 2/3+4/7, reduced to lowest terms =
1 2/5
1 26/21
2 5/21
2 3/21
Correct Answer : C
To add and
, first convert
to an improper fraction:
=
=
Now add and
. To do so, find a common denominator, which for 3 and 7 is 21:
=
=
=
=
Add these fractions:
+
=
=
Since is an improper fraction, convert it to a mixed number:
47 ÷ 21 =
Thus, the correct answer is: C 2 5/21
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Related Questions
Correct Answer is A
Explanation
In military time (24-hour clock), times in the morning are the same as in regular time except without the "AM" designation and usually with a leading zero for times before 10:00 AM.
Therefore, 5:00 AM is simply written as 0500 in military time.
Correct Answer is C
Explanation
To determine which expression is the largest, you can consider each ratio or fraction and evaluate its decimal equivalent or compare its relative value. Each expression lists a ratio of 1 to another number, so essentially, we're looking at fractions:
- A
- B
- C
- D
Among these, the largest fraction is the one with the smallest denominator, because the whole (1 in this case) is divided into fewer parts, making each part larger. Therefore, the largest fraction, and thus the largest expression, is: C 1:2
Correct Answer is A
Explanation
Total time from 8 am Tuesday to 5 pm Wednesday:
From 8 am Tuesday to 5 pm Wednesday is 33 hours (24 hours from 8 am Tuesday to 8 am Wednesday plus 9 additional hours to 5 pm Wednesday).
Stop times:
- 30 minutes for lunch and gas on Tuesday at 1 pm.
- Stopped for the night from 7 pm Tuesday to 5 am Wednesday (10 hours).
- 30 minutes for lunch and gas on Wednesday at 1 pm.
Convert stop times into hours:
- 30 minutes = 0.5 hours (two instances of 30 minutes each make 1 hour total).
- Night stop = 10 hours.
Total stop time: 0.5+10+0.5=11 hours.
Total driving time: 33−11=22 hours.
Distance traveled: 924 miles.
Average speed calculation:
Averagespeed==
Averagespeed=42
Thus, the average speed during his trip was 42 miles per hour.
Correct Answer is C
Explanation
To add and
, first convert
to an improper fraction:
=
=
Now add and
. To do so, find a common denominator, which for 3 and 7 is 21:
=
=
=
=
Add these fractions:
+
=
=
Since is an improper fraction, convert it to a mixed number:
47 ÷ 21 =
Thus, the correct answer is: C 2 5/21
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