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Maths-

General

Easy

Question

Express the following recurring decimals as vulgar fraction
a) 0.444444444

hint Hint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 4/9

Complete step by step solution:
(a) Let x = 0.4444444444…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 4.44444444
On subtracting x from both the sides, we have
$table attributes columnspacing 1em end attributes row cell 10 x minus x equals 4.4444444 minus 0.4444444 end cell row cell not stretchy rightwards double arrow 9 x equals 4 end cell row cell not stretchy rightwards double arrow x equals 4 over 9 end cell end table$
On simplification, we get $4 over 9$
Hence 0.444444444…. = $4 over 9$

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