Which of the following values is the greatest?

A. 25/2

B. 12.35

C. 40/3

D. 11.46

Answer Explanation:

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

25/2*300=3750

1235/100*300=3705

40/3*300=4000

1146/10*300=3438

From the calculated values, 4000 is the greatest value. Then, 40/3 is the greatest value.

Therefore, the Correct Answer is C.

Q #1: -3/5, -0.9, -1.9, -8/3 Of the number listed above, which number is the greatest?

A. -3/5

B. -0.9

C. -1.9

D. -8/3

Answer Explanation

To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.

-0.9 becomes 9/10

-1.9 becomes 19/10

Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.

-3/5*30=-18

-9/10*30=-27

-19/10*30=-57

-8/3*30=-24

The greatest number is -18, meaning -3/5 is the greatest number.
Q #2: A bucket containing 3 3/5 gallons of water is 2/3 full. How many gallons of water is in one fully filled bucket?

A. 13/15

B. 6 7/15

C. 8 2/5

D. 5 2/5

Answer Explanation

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

x 1 full tank=185 gallons23full tank

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Q #3: Which of the following is the appropriate unit of a measure to express the weight of a sheet of paper?

A. Liter

B. Milliliter

C. Gram

D. Kilogram

Answer Explanation

We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.

Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.