Fractions and Decimals Quiz

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What is the lowest common denominator (LCD) of 18 and 24?

36

72 (correct)

6

12

What is the simplified form of the fraction (\frac{18}{24})?

$\frac{9}{12}$

$\frac{2}{3}$

$\frac{3}{4}$ (correct)

$\frac{6}{8}$

What is the sign of the answer when you multiply a positive number by a negative number?

Positive

Negative (correct)

It could be either positive or negative

There's no way to tell

What is the simplified form of the mixed number (1\frac{4}{5})?

(\frac{9}{5}) (A) Signup and view all the answers

Why is it important to know how to calculate fractions manually, even though a calculator can be used?

Some fractions can't be accurately represented on a calculator (A) Signup and view all the answers

What is the simplest form of the fraction representing Elliot's score on his math test, if he scored 65 out of 80?

13/16 (D) Signup and view all the answers

The fraction 19/4 converted to a mixed number is:

4 1/4 (B) Signup and view all the answers

What is the decimal equivalent of the simplified fraction obtained after dividing the numerator and denominator of (\frac{0.8}{1.6}) by 0.8?

0.5 (A) Signup and view all the answers

Which of the following fractions, when simplified, results in a decimal equivalent between 0.4 and 0.6?

(\frac{3}{5}) (B) Signup and view all the answers

What is the decimal equivalent of 3/8, based on the table provided?

0.375 (B) Signup and view all the answers

Rendell cycles 42 km at an average speed of 18 km/hr. What fraction represents the time he spent cycling, in its simplest form?

3/7 (A) Signup and view all the answers

Given a decimal equivalent of 0.375, what is the corresponding fraction in its simplest form?

(\frac{3}{8}) (D) Signup and view all the answers

Craig buys a ring for $500 and sells it for $750. Expressed as a fraction in its simplest form, the selling price as a fraction of the cost price is:

3/2 (A) Signup and view all the answers

Which of the following fractions, when converted to a decimal, will result in a terminating decimal? (A terminating decimal is a decimal that ends at some point.)

(\frac{1}{4}) (B) Signup and view all the answers

What is the result of multiplying $\frac{3}{4}$ by $\frac{2}{5}$ using the method of cancelling common factors before multiplying?

$\frac{3}{10}$ (B) Signup and view all the answers

What is the result of multiplying $\frac{9}{10}$ by $\frac{5}{6}$ after cancelling common factors before multiplying?

$\frac{3}{4}$ (A) Signup and view all the answers

What is the result of multiplying $\frac{7}{12}$ by $\frac{2}{5}$?

$\frac{14}{60}$ (B) Signup and view all the answers

What is the result of multiplying $\frac{1}{3}$ and $\frac{1}{8}$?

$\frac{1}{24}$ (D) Signup and view all the answers

What is the result of the following calculation: 1 1/2 + 2 4/5 ?

4 3/10 (C) Signup and view all the answers

If a piece of wood is 4 meters long and is cut into pieces measuring 2/5 meters long, how many pieces are there?

10 pieces (C) Signup and view all the answers

What is the result of the following calculation: 43/20 + 5/6 ?

2 23/60 (B) Signup and view all the answers

A bottle contains 2 1/4 litres of water. How many glasses of volume 2/5 litre can it fill?

5 glasses (C) Signup and view all the answers

A roll of ribbon is 32 1/2 cm long. How many pieces 1 1/4 cm long can be cut from the roll?

26 pieces (D) Signup and view all the answers

In Problem 9, what fraction of the pizza did Teddy not eat for dinner?

$\frac{3}{10}$ (B) Signup and view all the answers

If Problem 10 were changed so that the warehouse space occupied $\frac{3}{8}$ of the remaining floor area after the production line, what would be the floor area of the production line?

$\frac{3}{4}$ of the total floor area (B) Signup and view all the answers

Suppose in Problem 10, the factory wants to build a new extension, increasing the floor area by $\frac{1}{4}$ its original value. If the warehouse space remains at $2000 m^2$ and the proportion of floor area dedicated to production, offices, and warehouse space stay the same, calculate the new floor area of the production line.

$\frac{5}{3}* 2000 m^2$ (B) Signup and view all the answers

What fraction of the pizza did Teddy eat in total?

$\frac{7}{10}$ (D) Signup and view all the answers

If the factory floor area is 10,000 $m^2$, how many square meters of the floor area are occupied by the production line?

6667 $m^2$ (A) Signup and view all the answers

What is the fraction of homework that remains undone for Li if she completes one-quarter before dinner and one-third after dinner?

5/12 (C) Signup and view all the answers

What is the fraction of chemical D if compounds A, B, and C are represented by $rac{1}{8}$, $rac{1}{5}$, and $rac{10}{36}$ respectively?

7/40 (C) Signup and view all the answers

When adding the fractions $rac{1}{5}$, $rac{3}{10}$, and $rac{9}{20}$, what is the simplified result?

5/4 (D) Signup and view all the answers

Reducing the result of the operation $rac{7}{2} - 2 - rac{1}{6}$ leads to which fraction?

19/6 (A) Signup and view all the answers

If a mixed number is represented as $4 + rac{2}{3} + rac{6}{6}$, what is its improper fraction form?

32/3 (D) Signup and view all the answers

What is the first step in evaluating the expression $8 + (6 - 4) * 3^2 - 5$?

Brackets (B) Signup and view all the answers

In the expression $12 - 4 + 2^3 * (3 + 1)$, what should be calculated after resolving the brackets?

Indices (B) Signup and view all the answers

What is the correct result of the expression $5 + 2 * 3^2 - (8 - 4)$ when following the order of operations?

14 (D) Signup and view all the answers

Which operation is performed last when evaluating the expression $4 + 8 - 2 * 3 + 6 / 2$?

Subtraction (B) Signup and view all the answers

When evaluating the expression $7 * (3 + 2) - 4^2 / 2$, which step follows the evaluation of indices?

Multiplication (A) Signup and view all the answers

What is the result of dividing 2 by one-third?

6 (B) Signup and view all the answers

How can you express the operation $9 \div 1\frac{1}{5}$ using multiplication?

$9 \times \frac{5}{6}$ (C) Signup and view all the answers

What is the result of the operation $1\frac{2}{5} \div \frac{3}{5}$?

$2\frac{1}{3}$ (B) Signup and view all the answers

If you divide $2\frac{2}{3}$ by 4, what is the result?

$\frac{2}{3}$ (B) Signup and view all the answers

What does $\frac{1}{2} \div 3$ equal when simplified?

$\frac{1}{6}$ (B) Signup and view all the answers

What is the value of the expression (16 - 4 × 3) / (6 + 3 × 2)?

1/3 (B) Signup and view all the answers

If you insert brackets in the expression 4 × 5 - 3 + 2, what would lead to a result of 10?

(4 × 5 - 3) + 2 (D) Signup and view all the answers

Which of the following expressions evaluates to 14 according to the order of operations?

3 × 4 + 2 (A), 2 + 3 × 4 (D) Signup and view all the answers

What is the result of the expression 12 + 4 × 2?

20 (D) Signup and view all the answers

Which of the following pairs of operations correctly demonstrates the concept of the line in a fraction acting like brackets?

(1 + 2)/3 (A) Signup and view all the answers

Converting fraction to decimal

Divide the numerator by the denominator.

Simplifying fractions

Reducing fractions to their simplest form.