Decimal Fractions, General Mathematics

Question: Which of the following fractions is less than `7/8` and greater than `1/3 ?`
A
`1/4`

B
`22/24`

C
`11/12`

D
`17/24`

Note: `7/8 = 0.875,1/3` `= .333,1/4` `= 0.25,23/24` `= 0.958,11/12` `= 0.916,17/24` `= 0.708` `clearly,`0.708` lies between `0.333`& 0.875`. `:.Required fraction is` `17/24`
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Question: A Metre is taken to be equal to `39.3701` inches . If the value is approximated to `39 (7)/(20)` inches ,the relative percentage erro is :
A
`5%`

B
`0.5%`

C
`.05%`

D
`0.005%`

Note: Exact value`= 39.3701` inches Approximate value = `39 + 7/20` `= 39 + 0.35` `= 39.35`.
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Question: ` 0.393939`... is equivalent to the fraction :
A
`39/100`

B
`39/99`

C
`93/100`

D
None

Note: `0.393939....` `= 0.bar39` `= 39/99`
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Question: The fraction for `0.535353....`is :
A
`6/53`

B
`27/53`

C
`28/53`

D
`53/99`

Note: `0.5353...` `= 0.bar53` `= 53/99`.
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Question: ` 0.bar8` expressed as a fraction is :
A
`8/10`

B
`88/100`

C
`88/99`

D
`8/9`

Note: `0.bar8` `= 8/9`
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Question: ` 1.bar6`expressed as a fraction is :
A
`16/10`

B
`16/9`

C
`5/3`

D
None

Note: `1.bar6 = 1 + 0.bar6` `= 1 + 6/9` `= 1 + 2/3` `= 5/3`
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Question: The value of ` 0.bar57` is :
A
` 57/10`

B
` 57/99`

C
` 26/45`

D
` 52/9`

Note: `0.bar57 = (57 - 5)/90` `= 52/90 = 26/45`.
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Question: Let F ` =0.841bar81` .when F is written as a fraction in lowest ,the denomination exceeds the numerators by :
A
` 13`

B
` 14`

C
` 29`

D
` 87`

Note: `0.841bar81` `= (84181 - 841)/99000` `= 83340/99000` `= 463/550`. Requied defferecn ` = (550 - 463)` `=87`.
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Question: ` 1,bar34` expressed as afraction is :
A
` 134/100`

B
` 134/99`

C
` 133/99`

D
` None

Note: `1.bar34` `= 1 + 0.bar34` `= 1 + (34)/99` `= (99 + 34)/99` `= 133/99`.
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Question: The value of `4.bar12`
A
` 4 (11)/(90)`

B
` 4 (11)/(99)`

C
` 371/900`

D
None

Note: `4.bar12` `= 4 + 0.bar12` `= 4(12-1)/90` `= 4(11)/90`
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Question: Which of the following fractions is less than `7/8` and greater than `1/3 ?`

Question: A Metre is taken to be equal to `39.3701` inches . If the value is approximated to `39 (7)/(20)` inches ,the relative percentage erro is :

Question: ` 0.393939`... is equivalent to the fraction :

Question: The fraction for `0.535353....`is :

Question: ` 0.bar8` expressed as a fraction is :

Question: ` 1.bar6`expressed as a fraction is :

Question: The value of ` 0.bar57` is :

Question: Let F ` =0.841bar81` .when F is written as a fraction in lowest ,the denomination exceeds the numerators by :

Question: ` 1,bar34` expressed as afraction is :

Question: The value of `4.bar12`