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प्रश्न
Find a rational number exactly halfway between:
`1/15` and `1/12`
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उत्तर
We know that, a rational number, which is halfway between two rational number i.e. a and b = `(a + b)/2`
Given rational numbers are `1/15` and `1/12`
Here, a = `1/15` and b = `1/12`
∴ `(a + b)/2 = (1/15 + 1/12)/2`
= `((1 xx 4)/(15 xx 4) + (1 xx 5)/(12 xx 5))/2` ...[∵ LCM of 15 and 12 = 60]
= `(4/60 + 5/60)/2`
= `((4 + 5)/60)/2`
= `9/(60 xx 2)`
= `9/120`
= `3/40`
Hence, the exactly halfway between `1/15` and `1/12` is `3/40`.
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संबंधित प्रश्न
Observe the number line and answer the questions.
- Which number is indicated by point B?
- Which point indicates the number `1 3/4`?
- State whether the statement ‘the point D denotes the number `5/2`’ is true or false.
Show the following numbers on a number line. Draw a separate number line for the example.
`7/5 , (-2)/5 , (-4)/5`
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
Evaluate:
`5/(-11) + 0`
Draw a number line and mark
`3/4, 7/4, (-3)/4 and (-7)/4` on it.
Draw a number line and represent the following rational numbers on it
`9/4`
The rational number `7/(-4)` lies to the right of zero on the number line.
On a number line, `(-1)/2` is to the ______ of zero (0).
Find a rational number exactly halfway between:
`1/6` and `1/9`
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
