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Akash measures a ribbon as $1. \overline{3}$ m long. What is this length as a fraction?

Class 9Decimal Expansions of Real NumbersNumber Systems

A $\frac{13}{10} m$
B $\frac{4}{3} m$
C $\frac{3}{4} m$
D $\frac{13}{9} m$

Step-by-Step Solution

x = 1.333

…,

10 x = 13.333

…, so

9 x = 12

and

x = 12/9 = 4/3

m. (13/10 = 1.3 exactly; 13/9 = 1.444….)

Answer: B)

\frac{4}{3} m

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