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प्रश्न
Evaluate:
`1/(-15) + 5/(-12)`
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उत्तर
`1/(-15) + (5/(-12))`
= `(-1)/15 - 5/12`
| 2 | 15, 12 |
| 2 | 15, 6 |
| 3 | 15, 3 |
| 5 | 5, 1 |
| 1, 1 |
LCM of 15 and 12 = 2 x 2 x 3 x 5 = 60
`(-1xx4)/(15xx4) - (5xx5)/(12xx5)` ...(∵ LCM of 15 and 12 = 60)
= `(-4-25)/60`
`= (-29)/60`
APPEARS IN
संबंधित प्रश्न
Represent `(-2)/11, (-5)/11, (-9)/11` on the number line.
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.
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`.
Evaluate:
`4/(-9) + 1`
The rational numbers `1/3` and `(-1)/3`are on the ______ sides of zero on the number line.
The rational numbers `1/2` and –1 are on the opposite sides of zero on the number line.
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 a rational number exactly halfway between:
`1/6` and `1/9`
Find a rational number exactly halfway between:
`1/15` and `1/12`
