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914-54 = ______. - Mathematics

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Question

`9 1/4 - 5/4` = ______.

Fill in the Blanks

Solution

`9 1/4 - 5/4` = 8.

Explanation:

We have, `9 1/4 - 5/4 = (9 xx 4 + 1)/4 - 5/4`   .....`[(because "Mixed fraction" = "Improper fraction"),(=(("Whole number x Denomiantor + Numerator"))/"Denominator")]`

= `37/4 - 5/4`

= `(37 - 5)/4 = 32/4`

= `(32 ÷ 4)/(4 ÷ 4)`  .....[∵ HCF of 32 and denominator 4 is 4]

= 8

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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 40 | Page 60

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