Maths-
General
Easy

Question

Convert the following repeating decimals to fractions
b) 0.155555555555

Hint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 7/45


    Complete step by step solution:
    (b) Let x= 0.1555555555
    Now multiply by 10 on both the sides,
    We get, 10x = 1.55555555
    On subtracting  from both the sides, we have
    10x - x = 1.55555555 - 0.155555555
    rightwards double arrow 9 x space equals space 1.4
rightwards double arrow x space equals space fraction numerator 1.4 over denominator 9 end fraction
    Multiply by 10 on numerator and denominator of x.
    On multiplying, we have 14 over 90.(Since the numerator and denominator of a fraction must be integers)
    On simplification, we get 7 over 45
    Hence 0.15555555 …. = 7 over 45

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.