What is the value of (3.6 × 1.62 + 0.48 × 3.6) / (1.8 × 0.8 + 10.8 × 0.3 - 2.16)?
3
Numerator — factor 3.6:
\[3.6\times 1.62+0.48\times 3.6=3.6(1.62+0.48)=3.6\times 2.1=7.56\]
Denominator:
\[1.8\times 0.8+10.8\times 0.3-2.16=1.44+3.24-2.16=2.52\]
Therefore \(\dfrac{7.56}{2.52}=\mathbf{3}\).
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Number 0.232323 can be written in rational form as:
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Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
Among the fractions \(\frac{7}{12}\) , \(\frac{8}{15}\) , \(\frac{17}{24}\) and \(\frac{13}{18}\) , which is the smallest?
