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Decimal 16.25 is equal to the fraction ______. - Mathematics

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Question

Decimal 16.25 is equal to the fraction ______.

Fill in the Blanks

Solution

Decimal 16.25 is equal to the fraction `65/4`.

Explanation:

We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are numbers of places in the decimal part.

Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF.

16.25 = `1625/100 = (1625 ÷ 25)/(100 ÷ 25) = 65/4`  .....[∵ HCF of 1625 and 100 is 25]

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Chapter 4: Fractions and Decimals - Exercise [Page 60]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 4 Fractions and Decimals
Exercise | Q 35 | Page 60

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