Question 1

Round down 9.6723 to the tenths place.

Accepted Answer

Rounding down to the tenths place means looking at the hundredths place. Since the hundredths digit is 7, which is greater than 5, we round down the tenths place to 9.6.

Question 2

Simplify the following complex fraction: 4/5 / 8/9

Accepted Answer

To simplify the complex fraction 4/5 divided by 8/9, multiply 4/5 by the reciprocal of 8/9, which is 9/8. This results in (4/5) * (9/8) = 36/40, which simplifies to 9/10.

Question 3

Round off 17.456 to the tenths place.

Accepted Answer

When rounding to the tenths place, look at the hundredths place. Since 5 is in the hundredths place, round up the tenths place from 4 to 5.

Question 4

Round off 3.5243 to the tenths place.

Accepted Answer

Rounding off 3.5243 to the tenths place means considering only the digit in the tenths place and ignoring the digits in the hundredths and thousandths places. The digit in the tenths place is 5, and since it is greater than or equal to 5, we round up the digit in the tenths place by 1. Therefore, 3.5243 rounded off to the tenths place is 3.5.

Question 5

Simplify the following complex fraction and write in lowest terms: 1/2 / 3/4

Accepted Answer

To simplify the complex fraction 1/2 divided by 3/4, multiply 1/2 by the reciprocal of 3/4, which is 4/3. This results in (1/2) * (4/3) = 4/6, which simplifies to 2/3.

Question 6

What is 0.87% of 30?

Accepted Answer

0.87% of 30 is calculated as (0.87/100) * 30 = 0.261.

Question 7

Solve the following problem and write the answer as a whole number or fraction in the lowest terms: 3/200 ÷ 11/300.

Accepted Answer

To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (3/200) ÷ (11/300) = (3/200) * (300/11) = 900/2200. Simplifying 900/2200 gives 9/22.

Question 8

Round down 4.2894 to the hundredths place.

Accepted Answer

Rounding down 4.2894 to the hundredths place means keeping the first two decimal places and not increasing the second decimal place. Thus, it becomes 4.28.

Question 9

Write 1/5 as an equivalent fraction with 25 in the denominator.

Accepted Answer

To convert 1/5 to a fraction with 25 as the denominator, multiply both the numerator and denominator by 5, resulting in 5/25.

Question 10

Solve the following problem and write the answer as a mixed number in lowest terms: 8/11 ÷ 4/9.

Accepted Answer

To divide fractions, multiply by the reciprocal of the divisor: (8/11) ÷ (4/9) = (8/11) * (9/4) = 72/44. Simplifying 72/44 gives 1 7/11.

Question 11

Solve the following problem and write the answer as a mixed number in lowest terms: 7/8 × 3/4 × 3/16.

Accepted Answer

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Question 12

Write 3/4 as an equivalent fraction with 100 in the denominator.

Accepted Answer

To find an equivalent fraction with 100 in the denominator, multiply both the numerator and the denominator of 3/4 by 25 to get 75/100.

Question 13

Round off 6.892489 to the hundredths place.

Accepted Answer

To round to the hundredths place, look at the third decimal place. Since the third decimal is 2, which is less than 5, the second decimal place remains 8, making it 6.89.

Question 14

Solve the following problem and write the answer in lowest terms: 3/4 ÷ 7/8.

Accepted Answer

To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (3/4) ÷ (7/8) = (3/4) * (8/7) = 24/28. Simplifying 24/28 gives 6/7.

Question 15

Simplify the following complex fraction and write as a mixed number in lowest terms: 4/5 / 3/4

Accepted Answer

4/5 divided by 3/4 is 16/15. 16/15 can be written as a mixed number 1 1/15.

Question 16

Simplify the following complex fraction: 3/4 / 7/8

Accepted Answer

To simplify the complex fraction 3/4 divided by 7/8, multiply 3/4 by the reciprocal of 7/8, which is 8/7. This results in (3/4) * (8/7) = 24/28, which simplifies to 6/7.

Question 17

Write 4/5 as an equivalent fraction with 100 in the denominator.

Accepted Answer

To convert 4/5 to a fraction with a denominator of 100, multiply both the numerator and the denominator by 20. This gives 80/100.

Question 18

Write 17/20 as an equivalent fraction with 100 in the denominator.

Accepted Answer

To convert 17/20 to a fraction with 100 as the denominator, multiply both the numerator and the denominator by 5: (17*5)/(20*5) = 85/100.

Question 19

Divide 566.8 by 1,000.

Accepted Answer

Dividing by 1,000 moves the decimal point three places to the left, resulting in 0.5668.

Question 20

Write 5/8 as an equivalent fraction with 96 in the denominator.

Accepted Answer

To find an equivalent fraction with 96 as the denominator, multiply both the numerator and denominator of 5/8 by 12 (since 8 * 12 = 96). This gives 60/96.

Quiz 1: Review of Arithmetic for Dosage Calculations