please solve the exercise with step by step if you will send correct I will mark you birilant
Answers
✌✌✌✌✌.........................
Answer:
Ans1: (a)proper
A mixed fraction when converted to a complete fraction it will be an improper fraction. So the reciprocal is a proper fraction.
Ans2: (d)none of these
We know that 1¾ is 7/4. Therefore the reciprocal is 4/7 which is none of these.
Ans3: (Total amount of milk=20/3L
No. of people=10
Therefore the amount of milk each person will get=(20/7)/10
=>20/7*1/10=20/70=2/7L(the book might be wrong. Just ask a teacher as I also get some printing mistakes(typing mistake))
Ans4:(b)395
fraction of the people who participated=5/6
total no. of people=474
Therefore the no.of people who participated=5/6*474=395
Ans5:(c)720
No.of months in one year=12
No.of months in a century=12 * 100=1200
Therefore the no.of months in 3/5th of a century =3/5*1200=720
Ans6:
By taking the LCM of the numerators of the fractions = 24
So,
¾*24/24=18/24
⅔*24/24=16/24
½*24/24=12/24
5/6*24/24=20/24
⅞*24/24=21/24
Therefore this becomes simpler for us to write in ascending order, i.e.,
12/24<16/24<18/24<20/24<21/24
Therefore the fractions in ascending order: ½,⅔,¾,5/6,⅞.
Ans7(a):
Since the denominator is the same, simply add the numerators without changing the denominator, i.e.,
1/12+5/12+7/12=13/12
Ans7(b):
Since the denominators are not the same we find the LCM of the denominators i.e., 30.
Now we convert each mixed fraction into an improper fraction, i.e.
1½=3/2
2⅓=7/3
Now make the denominator the same as the LCM of them:
3/2*30/30 = 45/30
7/3*30/30 = 105/30
6/15*30/30 = 12/30
Now add the numerators:
45/30+105/30+12/30 = 162/30
Now simplify the fraction:
27/5.
Ans7(c):
Make the fractions proper or improper:
2⅓=7/3
3½=7/2
1¼=5/4
Then make the denominator same by finding LCM:
7/3=28/12
7/2=42/12
5/4=15/12
Now simplify the numerators and let the denominator as it is, i.e.,
55/12.
Ans7(d):
5/7-3/5=(25-3)/35=22/35
Ans7(e):
2⅓+3½-1¼ = 7/3+7/2-5/4=(140-30)/24=55/12
Ans7(f):
2½*3¼=5/2*13/4=65/8
Ans7(g):
10*4¼=10*17/4=170/4=85/2
Ans7(h):
5/9*5/8=(5*5)/(9*8)=25/72
Ans7(i):
⅛ of 756/- = ⅛*756 = 189/2 = 94½m
Ans7(j):
3/5 of 62½ = 3/5*62½= 3/5*125/2=375/10=37.5= 37½m
Ans7(k):
(5/8)/(2/3)=5/8*3/2=15/16
Ans7(l):
(11/13)/22=11/13*1/22=11/286=1/26
Ans7(m):
(6¼)/(2¼)=25/4*4/9=100/36=25/9
Ans7(n):
100/(10/7)=100*7/10=70
Ans8:
Amount of grapes with Sunita=10kg
amount given to her friends = 3½+2¼kg
=7/2+9/4
=23/4kg
Therefore the amount of grapes left with her=10-23/4=17/4=4¼kg
Ans9:
Distance covered in 1 hr = 1½km
Therefore speed = 1½km/hr
We know that,
speed = distance/time
Therefore distance = speed * time
= 1½ * 2½
=3/2*5/2
=15/4km
=3¾km
Ans10:
Weight of 6 books = 6⅓kg
Weight of one book = (6⅓)/6
=19/2*1/6
=19/12kg