SHSAT Math · Number System

Fractions & Decimals Practice

Operations with fractions, decimals, and mixed numbers. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

What is

1.2 \times 0.03

A0.36
B3.6
C0.036
D0.0036

Show answer and explanation

Answer: C

12 × 3 = 36. Count decimal places: 1 + 2 = 3 places. So 0.036.

Question 2

Which fraction is equivalent to

0.\overline{3}

(0.333...)?

A $\frac{1}{3}$
B $\frac{3}{10}$
C $\frac{3}{9}$
D $\frac{33}{100}$

Show answer and explanation

Answer: A

0.\overline{3} = \frac{1}{3}

. A = 0.3 (terminating). C = 0.33 (terminating). D =

\frac{1}{3}

(equivalent but not simplified). B is the standard simplest form.

Question 3

What is

2\frac{1}{2}

written as an improper fraction?

A $\frac{21}{2}$
B $\frac{3}{2}$
C $\frac{5}{2}$
D $\frac{4}{2}$

Show answer and explanation

Answer: C

2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}

. B only added 2+1=3. C concatenated 21. D forgot the fractional part.

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Fractions & Decimals Practice

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