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Problem: decimal to fraction 0.3535 [ Calculator, Method and examples ]

Solution:
Your problem -> decimal to fraction 0.3535

1. Convert a Repeating Decimal to a Fraction

0.3535... = 35/99

Step by step solution :
Step-1 : let x equals the decimal number

x = 0.3535... ->(1)

Step-2 : Here repeating digits is 2, So create a second equation by multiplying both sides by 10^2 = 100

100 x = 35.353535... ->(2)

Subtract equation (1) from equation (2)
 100 x = 35.353535... x = 0.3535... 99 x = 35

:. x = 35/99

:. 0.3535... = 35/99

2. Convert a Decimal to a Fraction (Non Repeating)

0.3535 = 3535/10000=(3535 -: 5)/(10000 -: 5) = 707/2000

Step by step solution :
Step-1 : write the decimal number as a fraction (by dividing 1)
0.3535=0.3535/1

Step-2 : To eliminate 4 decimal places, multiply both numerator and denominator by 10^4 = 10000

0.3535/1 xx 10000/10000=3535/10000

Step-3 : Find the Greatest Common Factor (GCF) of 3535 and 10000, and reduce the fraction by dividing both numerator and denominator by GCF = 5

=(3535 -: 5)/(10000 -: 5)=707/2000

So 0.3535 = 707/2000

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