Convert 0.75 to a ratio in simplest form.
1:75
5:7
3:4
7:5
Correct Answer : C
To convert the decimal 0.75 to a ratio in simplest form, follow these steps:
- Write it as a fraction:
0.75= 
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (since there are two decimal places in 0.75):
= 
- Simplify the fraction: The greatest common divisor (GCD) of 75 and 100 is 25, so divide both the numerator and the denominator by 25:
= 
The simplified ratio of 0.75 is 3:4
The answer is C 3:4.
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Related Questions
Correct Answer is A
Explanation
To solve for the proportion, first write the given proportions in fraction format as follows:
= 
Now, solve for X by cross-multiplying:
0.3×𝑋=2×15
0.3X=30
Divide both sides by 0.3 to isolate X:
X = 
X = 100
The correct answer is 100
Correct Answer is C
Explanation
To solve the division problem involving the mixed number:
divided by 2, first convert the mixed number to an improper fraction.
Convert to an improper fraction:
= 1+ 
= 
+ = 
Now, perform the division:
÷2 =÷
= × = 
=
Converting to a decimal:
= 0.75
The correct answer is: C 0.75
Correct Answer is A
Explanation
To add the mixed numbers 
and 
, First add the whole numbers part separately and the fraction part separately
5 + 7 = 12
Now convert the fractions part with a common denominator and then perform the addition.
- Find a common denominator: The least common multiple (LCM) of 4 and 3 is 12. So, convert each fraction:
= 
= 
= 
= 
- Add the two fractions:
+ = 
= 
- Now combine the whole number part with the fraction part
12 + = 
Thus, the answer is A 12 7/12.
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.
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