find the value of 6¼ of 1 litre explain fully
Answers
Answer:
Answer:
l:n=\frac{10}{21}l:n=
21
10
l:m:n=30:35:63l:m:n=30:35:63
Step-by-step explanation:
Given : If l : m=\frac{3}{2} :\frac{7}{4}l:m=
2
3
:
4
7
and m:n=\frac{7}{3} :\frac{21}{5}m:n=
3
7
:
5
21
To find : The value of l:nl:n and l:m:nl:m:n ?
Solution :
l : m=\frac{3}{2} :\frac{7}{4}l:m=
2
3
:
4
7
\frac{l}{m}=\frac{\frac{3}{2}}{\frac{7}{4}}
m
l
=
4
7
2
3
\frac{l}{m}=\frac{6}{7}
m
l
=
7
6
....(1)
m:n=\frac{7}{3} :\frac{21}{5}m:n=
3
7
:
5
21
\frac{m}{n}=\frac{\frac{7}{3}}{\frac{21}{5}}
n
m
=
5
21
3
7
\frac{m}{n}=\frac{5}{9}
n
m
=
9
5
....(2)
To make m same multiply (1) by 5 and (2) by 7,
\frac{l}{m}=\frac{30}{35}=k
m
l
=
35
30
=k
\frac{l}{30}=\frac{m}{35}=k
30
l
=
35
m
=k
l=30kl=30k and m=35km=35k
\frac{m}{n}=\frac{35}{63}=k
n
m
=
63
35
=k
\frac{m}{35}=\frac{n}{63}=k
35
m
=
63
n
=k
m=35km=35k and n=63kn=63k
So, l:n=\frac{l}{n}l:n=
n
l
l:n=\frac{30k}{63k}l:n=
63k
30k
l:n=\frac{30}{63}l:n=
63
30
l:n=\frac{10}{21}l:n=
21
10
So, l:m:n=30k:35k:63kl:m:n=30k:35k:63k
l:m:n=30:35:63l:m:n=30:35:63