+236 What is \(0.4\overline8 + 0.\overline{37}\)? Express your answer as a common fraction in lowest terms.
+128406 Fractional representation of a repeating decimal =
[ number written without the decimal - non-repeating part ]
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[ same no. of 9s as digits in repeating part same number of 0s as digits in non-repeating part ]
Fractional representation of first repeating decimal = [ 48 - 4 ] / 90 = 44/90 = 22/45
Fractional representation of second decimal = [ 37 - 0 ] / 99 = 37/99
So .... 22/45 + 37/99 = [ 22 * 99 + 37*45 ] / [ 45 * 99 ] = 427/495
