Calculate the sum: $0. \overline{3} + 0.4 \overline{7}$
(N/A) To add $0. \overline{3}$ and $0.4 \overline{7}$,first convert them into fractions.
$0. \overline{3} = \frac{3}{9} = \frac{1}{3}$
$0.4 \overline{7} = \frac{47 - 4}{90} = \frac{43}{90}$
Now,add the two fractions:
$\frac{1}{3} + \frac{43}{90} = \frac{30}{90} + \frac{43}{90} = \frac{73}{90}$
Converting $\frac{73}{90}$ back to decimal form:
$73 \div 90 = 0.8111... = 0.8 \overline{1}$
$0. \overline{3} = \frac{3}{9} = \frac{1}{3}$
$0.4 \overline{7} = \frac{47 - 4}{90} = \frac{43}{90}$
Now,add the two fractions:
$\frac{1}{3} + \frac{43}{90} = \frac{30}{90} + \frac{43}{90} = \frac{73}{90}$
Converting $\frac{73}{90}$ back to decimal form:
$73 \div 90 = 0.8111... = 0.8 \overline{1}$
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