Arithmetic Fundamentals: Concepts and Rules

Question 1 of 5

What is the numerator in the fraction \(\frac{5}{8}\)?

A) 8

B) 5

C) 13

D) 3

Answer: B) 5

A fraction \(\frac{a}{b}\) has numerator \(a\) (top) and denominator \(b\) (bottom). Here the numerator is \(5\).

Which of the following is a proper fraction?

A) \(\frac{7}{3}\)

B) \(\frac{5}{8}\)

C) \(\frac{9}{9}\)

D) \(\frac{12}{7}\)

Answer: B) \(\frac{5}{8}\)

A proper fraction has numerator smaller than denominator. For \(\frac{5}{8}\), \(5<8\), so it is proper.

Which of the following is an improper fraction?

A) \(\frac{3}{7}\)

B) \(\frac{5}{9}\)

C) \(\frac{7}{4}\)

D) \(\frac{1}{8}\)

Answer: C) \(\frac{7}{4}\)

An improper fraction has numerator greater than or equal to denominator; \(7>4\) so \(\frac{7}{4}\) is improper.

The mixed fraction form of \(\frac{9}{4}\) is:

A) \(2\,\frac{1}{4}\)

B) \(3\,\frac{1}{4}\)

C) \(4\,\frac{1}{4}\)

D) \(2\,\frac{3}{4}\)

Answer: A) \(2\,\frac{1}{4}\)

Divide 9 by 4: \(9\div4=2\) remainder \(1\). So \(\frac{9}{4}=2+\frac{1}{4}=2\,\frac{1}{4}\).

What does the decimal point in a number represent?

A) The whole number only

B) The separation between the integer and fractional part

C) The start of rounding off

D) None of the above

Answer: B)

The decimal point (.) separates the integer (whole-number) part on the left from the fractional (decimal) part on the right, e.g. \(25.46\).

Mathematics Quiz