Practice Questions
Quiz
Convert 0.5625 into fraction in simplest form.
Explanation
$0.5625 = 5625/10000$. Dividing both by 625 gives $9/16$.
Quiz
Arrange 5/6, 0.83 and 7/8 in ascending order.
Explanation
$5/6 \approx 0.8333$, $0.83 = 0.8300$, $7/8 = 0.8750$. Thus, $0.83 < 5/6 < 7/8$.
Quiz
Convert recurring decimal 0.3636… into fraction.
Explanation
$x = 0.\overline{36} = 36/99 = 4/11$.
Quiz
Evaluate $( \frac{7}{12} \div \frac{14}{15} )$.
Explanation
$(7/12) \times (15/14) = (1/4) \times (5/2) = 5/8$.
Quiz
Compare 9/11 and 0.81.
Explanation
$9/11 \approx 0.8181...$, which is greater than $0.8100$.
Quiz
A number increases from 2/5 to 3/5. Find the percentage increase.
Explanation
Increase = $1/5$. Percentage increase = $( (1/5) / (2/5) ) \times 100 = 50\%$.
Quiz
Express 0.125 as a percentage and fraction.
Explanation
$0.125 \times 100 = 12.5\%$. $0.125 = 125/1000 = 1/8$.
Quiz
Simplify: $( 3.6 \times 0.25 \div 0.9 )$.
Explanation
$(3.6 / 0.9) \times 0.25 = 4 \times 0.25 = 1$.
Quiz
If $0.142857…$ is recurring, express it as fraction.
Explanation
$1/7 \approx 0.142857142857...$ which matches the recurring sequence.
Quiz
Evaluate $(0.75 \div 0.25) + (0.5 \times 0.4)$.
Explanation
$0.75 \div 0.25 = 3$, $0.5 \times 0.4 = 0.2$. Sum = $3 + 0.2 = 3.2$.
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