Ratio and Proportion: 0.3:2=15: X (Enter numeric value only.)
100
90
110
81
Correct Answer : A
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
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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 C
Explanation
To convert the decimal 8.08 to a fraction and simplify it to the lowest terms, follow these steps:
- Write it as a fraction of 1:
8.08 =
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (since there are two decimal places in 8.08):
=
- Simplify the fraction: The greatest common divisor (GCD) of 808 and 100 is 4, so divide both the numerator and the denominator by 4:
= 
- Express as a mixed number: Divide 202 by 25:
202÷25=8remainder2
This gives:
The simplified mixed number for 8.08 is
The answer is C 8 2/25.
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 B
Explanation
To solve the division problem
413 ÷0.05
Adjust the division to simplify the operation.
Dividing by 0.05 is equivalent to multiplying by the reciprocal of 0.05.
Reciprocal of 0.05 is
= 20
Hence, the operation becomes:
413 × 20
Calculating the multiplication:
413×20 = 8260
Therefore, the answer is: B 8,260
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