Advertisements
Advertisements
Question
Evaluate:
`((-13)/7 xx (- 35)/39) - ((-7)/45 xx (9)/14)`
Advertisements
Solution
`((-13)/7 xx (- 35)/39) - ((-7)/45 xx (9)/14)`
`=> (-13 xx (-35))/(7 xx 39) - (- 7 xx 9)/(45 xx 14)`
`=> (cancel(-13)^(-1) xx cancel(-35)^-5)/(cancel(7)_1 xx cancel(39)_3) - (- cancel(7)^1 xx cancel(9)^1)/(cancel(45)_5 xx cancel(14)_2)`
`=> (-1 xx (-5))/(1 xx 3) + (1 xx 1)/(5 xx 2)`
`=> (5)/3 + 1/10`
∵ L.C.M. of 3 and 10 = 30
`=> (5 xx 10)/(3 xx 10) + (1 xx 3)/(10 xx 3)`
`=> (50 + 3)/30 = (53)/30 = 1 23/30`
APPEARS IN
RELATED QUESTIONS
Express the following rational numbers to the lowest terms: `(-120)/144`
Compare: `(- 3)/8 and 2/5`
Evaluate: `(-8)/9 + 4/9 + (-2)/9`
Evaluate: `(-11)/12 + 5/16 + (-3)/8`
Subtract: `4 "from" -3/13`
Divide: `(- 22)/9 "by" 11/18`
Divide: `21/44 "by" - 11/9`
By what number should `(-3)/8` be multiplied so that the product is `(-9)/16`?
What rational number should be added to `- 3/16` to get `11/24`
What rational number should be subtracted from `- 5/12` to get `5/24`.
