-2/9, -0.9, -1.7, -4/7
Of the number listed above, which number is the greatest?
-0.9
-4/7
-1.7
-2/9
Correct Answer : D
The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.
-0. becomes -9/10
-1.7 becomes -17/10
Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.
-2/9*630=-140
-9/10*630=-567
-17/10*630=-1071
-4/7*630=-360
From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.
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Related Questions
Correct Answer is A
Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[3(2+6*4)]
We start with multiplication in inner brackets, 6*4=24. The expression becomes
[3(2+24)]
Then, we conduct the addition of 2+24=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)
The expression reduces into 6.
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4is the greatest of all.
Correct Answer is D
Explanation
Given the equation F(z)=9z+28
To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.
Correct Answer is B
Explanation
A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.
Correct Answer is A
Explanation
Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.
Correct Answer is D
Explanation
To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.
Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.
Correct Answer is A
Explanation
The number of boxes is found by volume of the room divided by volume of one box.
Number of boxes

The room can hold 125 boxes.
Correct Answer is D
Explanation
The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.
Formula for Range:
Range=MaximumValue−MinimumValue
Example Calculation:
From the given box plot:
Identify the maximum value: 92
- Identify the minimum value: 12
- Subtract the minimum from the maximum: 92−12=80
Thus, the range of this data set is 80.
Correct Answer is C
Explanation
A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6.
Step 1: Probability of rolling an even number on the first roll
There are 3 even numbers out of 6 total numbers, so:
P (evenonsecondroll) = 3/6 = ½
Step 2: Probability of rolling an even number on the second roll
Since rolling the die is an independent event, the probability remains:
P (evenonsecondroll) = 3/6 = ½
Step 3: Multiply the probabilities
P (evenonfirstANDevenonsecond) = ½ × ½ = ¼
Correct Answer is B
Explanation
we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.
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