Advertisements
Advertisements
प्रश्न
Divide the sum of `5/8` and `(-11)/12` by the difference of `3/7` and `5/14`.
Advertisements
उत्तर
Sum of `5/8` and `(-11)/12 = 5/8 + ((-11)/12)`
`= 5/8 - 11/12`
`= ((5xx3) - (11xx2))/24`
(LCM of 8 and 12 is 24)
`= (15-22)/24 = (-7)/24`
Now, difference of `3/7` and `5/14`
`= ((3xx2)-(5xx1))/14 "or" (5-(3xx2))/14`
(LCM of 7 and 13 = 14)
`= (6-5)/14 "or" (5-6)/14 = 1/14 "or" (-1)/14`
Now, divide `(-7)/24 "by" 1/14 "or" (-1)/14`
`= ((-7)/24)/(1/14) "or" ((-7)/24)/((-1)/14)`
`= (-7)/24 xx 14/1 "or" (-7)/24 xx (-14)/1`
` = (-49)/12 "or" 49/12 = -4 1/12 "or" 4 1/12`
APPEARS IN
संबंधित प्रश्न
Find the value of `(-4)/5÷ (-3)`.
Find the value of `3/13 ÷ ((-4)/65)`.
Evaluate:
`0 ÷ (- 4/7)`
The reciprocal of `1/2` is ______.
If `p/q` is a rational number and m is a non-zero common divisor of p and q, then `p/q = (p ÷ m)/(q ÷ m)`.
Match the following:
| Column I | Column II |
| (i) `a/b ÷ a/b` | (a) `(-a)/b` |
| (ii) `a/b ÷ c/d` | (b) –1 |
| (iii) `a/b ÷ (-1)` | (c) 1 |
| (iv) `a/b ÷ (-a)/b` | (d) `(bc)/(ad)` |
| (v) `b/a ÷ (d/c)` | (e) `(ad)/(bc)` |
Reduce the following rational numbers in its lowest form:
`91/(-364)`
Find the product of:
`(-4)/5` and `(-5)/12`
Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find (x – y) + z.
From a rope 68 m long, pieces of equal size are cut. If length of one piece is `4 1/4`m, find the number of such pieces.
