Question

fractions, decimals and percentages
i reckon that converting decimals to percentages is
about as easy as it gets — so make the most of it.
q1
express each of the following as a percentage:
a) 0.25 b) 0.5 c) 0.75 d) 0.1 e) 0.4132 f) 0.8406 g) 0.3952 h) 0.2828
all you’re doing is
multiplying by 100 — it
really couldn’t be easier
q2
express each percentage as a decimal:
a) 50% b) 12% c) 40% d) 34% e) 60.2% f) 54.9% g) 43.1% h) 78.8%
now you’re dividing
by 100 — so just
move the decimal
point to the left.
q3
express each of the following as a percentage:
a) \\(\frac{1}{2}\\) b) \\(\frac{1}{4}\\) c) \\(\frac{1}{8}\\) d) \\(\frac{3}{4}\\) e) \\(\frac{1}{25}\\) f) \\(\frac{2}{3}\\) g) \\(\frac{4}{15}\\) h) \\(\frac{2}{7}\\)
q4
express each percentage as a fraction in its lowest terms:
a) 25% b) 60% c) 45% d) 30% e) 8.2% f) 49.6% g) 88.6% h) 32.4%
best thing to do with e)-h) is to put them
over 100, then get rid of the decimal point
by multiplying top and bottom by 10.
then just cancel down as normal.
q5
119 out of 140 houses on an estate have
dvd players. what percentage is this?
q6
in an exam tina scored 52/80.
the grade she receives depends
on the percentage scored.
what grade will tina get?
grades
51-60% d
61-70% c
71-80% b
81-90% a
91-100% a*

Explanation:

Q4 a)

Step1: Recall percentage to fraction conversion

To convert a percentage to a fraction, we write it as $\frac{\text{percentage value}}{100}$. So for $25\%$, we have $\frac{25}{100}$.

Step2: Simplify the fraction

We find the greatest common divisor (GCD) of 25 and 100, which is 25. Then we divide both the numerator and the denominator by 25: $\frac{25\div25}{100\div25}=\frac{1}{4}$.

Step1: Convert percentage to fraction

For $60\%$, write it as $\frac{60}{100}$.

Step2: Simplify the fraction

The GCD of 60 and 100 is 20. Divide numerator and denominator by 20: $\frac{60\div20}{100\div20}=\frac{3}{5}$.

Step1: Convert percentage to fraction

For $45\%$, we have $\frac{45}{100}$.

Step2: Simplify the fraction

The GCD of 45 and 100 is 5. Divide both by 5: $\frac{45\div5}{100\div5}=\frac{9}{20}$.

Answer:

$\frac{1}{4}$

Q4 b)