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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
Write five rational numbers which are smaller than 2.
The number `sqrt2` is shown on a number line. Steps are given to show `sqrt3` on the number line using `sqrt2`. Fill in the boxes properly and complete the activity.
Activity :
- The point Q on the number line shows the number ______.
- A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
- Right angled ∆ORQ is obtained by drawing seg OR.
`l ("OQ") = sqrt2` , `l("QR") = 1`
`therefore` by Pythagoras theorem,
`[l("OR")]^2 = [l("OQ")]^2 + [l("QR")]^2 `
= `square^2`+ `square^2` = `square` + `square`
= `square`
∴ l(OR) = `square`
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number `sqrt3`.
Show the number √5 on the number line.
Evaluate:
`5/9 + 3/-4`
Evaluate:
`4/(-9) + 1`
Find the rational numbers represented by the question marks marked on the following number line
Draw a number line and represent the following rational numbers on it
`(-17)/(-5)`
On a number line, `4/3` is to the ______ of zero (0).
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
Find the odd one out of the following and give reason.
