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
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 A
Explanation
Set up a proportion where the ratios must be equal.
=
This can be solved by cross-multiplying:
200×𝑋=2×20
200𝑋=40
Now, solve for X by dividing both sides by 200:
𝑋= = 0.2
Thus, the value of X is 0.2.
Correct Answer is A
Explanation
The given proportion can be written in fraction format
Now, cross multiply:
0.6 × 2 = 0.3 × X
1.2 = 0.3X
To solve for X, divide both sides by 0.3:
X =4
So, the value of X is 4.
Correct Answer is A
Explanation
To compare the two fractions, make the fractions have same denominator and compare the numerators.
¼ can be written as 8/24.
Now compare 8/24 and 2/24.
Comparing the numerators, 8 is greater than 2
Therefore, ¼ is greater than 2/24. The correct answer is A greater than.
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