How to express a fraction in decimal expansion without actual division?
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EXAMPLE
1) 3/8
solution- 3/8
= 3/ 2x2x2
= 3/ 2^3
Multiplying 5^3 to both the numerator and the denominator, we get
= 3x5^3/ 2^3x5^3
= 3x125/ 10^3
= 375/ 1000
= 0.375
This way is same for any terminating fraction.
1) 3/8
solution- 3/8
= 3/ 2x2x2
= 3/ 2^3
Multiplying 5^3 to both the numerator and the denominator, we get
= 3x5^3/ 2^3x5^3
= 3x125/ 10^3
= 375/ 1000
= 0.375
This way is same for any terminating fraction.
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