Ratio and Proportion: 0.6: X=0.3:2 (Enter numeric value only.)
4
6
9
3
Correct Answer : A
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.
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Related Questions
Correct Answer is C
Explanation
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.
Correct Answer is A
Explanation
Use the standard conversion scale.
1000 milliliters equal 1 liter.
So, to convert 5000 milliliters to liters:
5000milliliters÷1000=5liters
Thus, there are 5 liters in 5000 milliliters.
Correct Answer is B
Explanation
To convert the decimal 0.16 to a fraction, follow these steps:
- Write it as a fraction of 1:
0.16=
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (because there are two decimal places in 0.16):
=
- Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator: The GCD of 16 and 100 is 4, so divide both the numerator and the denominator by 4:
=
The correct fraction representation of 0.16 is therefore .
So the answer is B 4/25.
Correct Answer is D
Explanation
To convert 0.26 to a fraction, you first recognize it as because 0.26 is 26 hundredths.
Next, to simplify, you find the greatest common divisor of 26 and 100. Both numbers are divisible by 2, so:
=
Checking the options:
- A: 26/10026/100 (correct but not in simplest form)
- B: 7/87/8 (irrelevant)
- C: 26/1026/10 (incorrect form)
- D: 13/5013/50 (correct and in simplest form)
Answer: D 13/50
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