Maths-
General
Easy

Question

Convert the following repeating decimals to fractions
b) 1.5555555555555

Hint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 14/6


    Complete step by step solution:
    (b) Let x = 0.55555555
    Now multiply by 10 on both the sides,
    We get, 10x = 5.5555555
    On subtracting x from both the sides, we have
    table attributes columnspacing 1em end attributes row cell 10 x minus x equals 5.55555555 minus 0.555555555 end cell row cell not stretchy rightwards double arrow 9 x equals 5 end cell row cell not stretchy rightwards double arrow x equals 5 over 9 end cell end table
    Now we have a fraction for 0.5555555. On adding it with 1, we have
    not stretchy rightwards double arrow 1 plus 5 over 9
    not stretchy rightwards double arrow 14 over 9as fraction

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