Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
7
385/55
6 2/55
5 3/16
Correct Answer : A
To multiply mixed numbers 3 
and 2 
, first convert each mixed number to an improper fraction.
Convert 3
and 2 to improper fractions:
3 
= 3 + 
= 
= 
2 
= 2 + 
= 
= 
Next, multiply the two improper fractions:
×
= 
To reduce to its lowest terms, we find the greatest common divisor (gcd) of 385 and 55. Both 385 and 55 are divisible by 55:
= 385÷55 = 7
The correct answer is: A 7
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Related Questions
Correct Answer is A
Explanation
Set up the proportion as fractions:
=
First, simplify the left side ratio:
= 30
This means for every 15 units on the left, there are 450 units. To maintain this proportion, the ratio on the right must behave similarly:
30 =
Now, solve for 𝑋X by cross-multiplying:
30⋅𝑋=225
Simplify to find X:
𝑋=
= 7.5
This correct calculation verifies that 𝑋=7.5, matching the proportion given.
Thus, the answer is A. X = 7.5.
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 A
Explanation
Multiply the daily production rate by the number of days:
2.5carsperday×16.5days =41.25cars
To follow the instruction of rounding to the nearest tenth, round 41.25, which results in:
41.3cars
Therefore, the person can build 41.3 cars in 16 and 1/2 days.
Correct Answer is B
Explanation
Use the conversion factor where;
1 kilogram equals 1000 grams.
Given 2 kilograms, the conversion to grams is:
2kilograms×1000grams/kilogram=2000grams
Thus, 2 kilograms is equivalent to 2000 grams.
The correct answer is: B 2,000 grams.
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