How will (0.48) be written as a simplified fraction?
Answer and explanation
Correct answer: ( \frac{12}{25} )
A terminating decimal can be written as a fraction by using a denominator of 10, 100, 1000, and so on, according to the number of decimal places. Since 0.48 has two digits after the decimal point, it is first written as 48 over 100. The resulting fraction must then be reduced by dividing its numerator and denominator by their common factor, so that the answer is in simplest form.
Thus, \\(0.48=\\frac{48}{100}\\). Both 48 and 100 are divisible by 4, giving \\(\\frac{48\\div4}{100\\div4}=\\frac{12}{25}\\). Therefore, option A is correct. The fraction \\(48/10\\) has the wrong denominator, while \\(4/8\\) and \\(24/100\\) are not the simplest form of 0.48.
Frequently asked questions
What is the correct answer to this question?
( \frac{12}{25} )
Why is this the correct answer?
A terminating decimal can be written as a fraction by using a denominator of 10, 100, 1000, and so on, according to the number of decimal places. Since 0.48 has two digits after the decimal point, it is first written as 48 over 100. The resulting fraction must then be reduced by dividing its numerator and denominator by their common factor, so that the answer is in simplest form.
Thus, \\(0.48=\\frac{48}{100}\\). Both 48 and 100 are divisible by 4, giving \\(\\frac{48\\div4}{100\\div4}=\\frac{12}{25}\\). Therefore, option A is correct. The fraction \\(48/10\\) has the wrong denominator, while \\(4/8\\) and \\(24/100\\) are not the simplest form of 0.48.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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