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How do you write 0.38 as a fraction in simplest form?

Answer
VerifiedVerified
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Hint: To convert the decimal into fraction that means we just need to remove the decimal then it will be in fractional form. And we know that to remove the decimals we use 10n which makes quite easier the calculations. So in this question as we see there are two digits after the decimal that means we have to move the decimal by two digits then if we multiply it with 100 then to make the number the same we will have to divide it with the same 100. After this the decimal is removed as decimal after all the digits in a number have no significance now just simplify it then the number will be in fractional form.

Complete step by step solution:
It is given that a number in decimal form and that is 0.38
Now to convert it into fractional form we have to remove this decimal so we multiply it with 100 but if we want to make the number same then we have to divide it with the same 100
0.38×100100
Now in this multiply the numerator part
38100
Now simplifying this, for this divide the numerator and denominator both by 2
As we know that when we multiply or divide the numerator and denominator with the same number then the initial and the obtained fractions are the same and said to be equivalent fractions.
3821002
1950

Hence 0.38 in fractional form is 1950.

Note:
To convert the decimal form into fraction form first remove the decimal by multiplying the numerator and denominator with 10n where n depends on the question. In simple words just remove the decimal divide with 10n that is 10 raised to power the number of non-zero digits after the decimal. Though the decimal and fractional both are the same but written in different forms.
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