Which of the following is 3/8 divided by 5/8?
10/9
9/10
3/5
5/12
Correct Answer : C
When dividing fractions, the division sign is changed into multiply sign and the first fraction is multiplied by the inverse of the second fraction.

Change division to multiply sign and find invers of 5/8. The inverse of a fraction is inverting the given fraction. The denominator becomes the numerator and the numerator becomes the denominator.

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Related Questions
Correct Answer is D
Explanation
We use the properties of exponent with the same base to solve for above expression.
Multiplication of exponents with same base, we add the exponents

Division of exponents with same base, we subtract the exponents

Using these two properties, we can solve the expression:


Now we use the following properties:
y0 =1, and
, thus

Correct Answer is D
Explanation
We convert the given weight in pounds to ounces and find total weight. 1 pound=16 ounces, which we interpret as

Or

Use the second option to convert pounds to ounces

Now, we can ounces to ounces as: 48 oz + 5 oz= 53 oz
Therefore, 3 pounds, 5 ounces is equal to 53 oz
Correct Answer is D
Explanation
A teaspoon can approximately hold 5 mL.
Although the capacity of a teaspoon could be more or less, choice D remains the most correct answer as the other choices have amounts too much for a small teaspoon.
Correct Answer is B
Explanation
we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:

So, 400 mg to g becomes

Correct Answer is A
Explanation
From the given options, we can arrange the numbers from the smallest to the largest as:
-271.906, -193.823, 145.884, 235.971
From the above, it can be noted that -271 is less than -193 while 235 is more than 145.
Correct Answer is D
Explanation
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
Correct Answer is A
Explanation
In this problem, we take the triangle as a right-angled triangle and label it as follows:

From the Pythagoras theorem A2 + B2= C2, we can look for a combination of A and B that when the squares of A and B are summed give a square of 13. Â Mathematically,

But C=13 inches


If we take A=5 inches and B=12 inches, then



Next, we take A=2.5 inches, B=6 inches



Next, we take A=2.5 inches, B=4 inches

6.25+16=169
22.25≠169
Taking A=5 inches and B=8 inches



From the above computation, the combination of A=5 inches and B=12 inches give a triangle with a hypothenuse of 13 inches.
Correct Answer is D
Explanation
Looking at the given trend, it is observed that the price increases with years. From 2008 to 2012, the price is fairly constant but we expect it to be more than $130,000 in the year 2016. The expected price in 2016 is $140,000.
Correct Answer is B
Explanation
The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:
Soccer

Hockey

Football

Basketball

Other

From the evaluations above, 90 teenagers love soccer, 80 love hockey, 190 teenagers love football, 120 teenagers love basketball, and 20 teenagers love others.
Correct Answer is A
Explanation
Let xxx be the amount the friend paid for their car. The problem states:
48,000=2x−2,000
Step 1: Solve for x
Add 2,000 to both sides:
48,000+2,000=2x
Divide by 2:
x=25,000
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