Question

find the value of m if 2 1/4 : 6 = m : 1 1/5.​

Answer 1

if

Q.

=> 21/4 : 6 = m : 11/5

=> ( 21/4)/6 = m /(11/5)

=> 21/(6×4) = 5m/11

=> 21/24 = 5m/11

=> 7/8 = 5m/11

i.e.

=>5m/11 = 7/8

=> 5m= 11(7/8)

=> 5m = 77/8

=> m = 77/(5×8)

=> m = 77/40

=> m = 1.925

i hope it helps you.

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Answer 2

Step-by-step explanation:

Converting mixed fractions, into improper fractions.:-

$\implies\tt 2 \dfrac{1}{4}= \dfrac{9}{4}$

$\implies\tt 1 \dfrac{1}{5}= \dfrac{6}{5}$

Now,

$\implies\tt \dfrac{9}{4} : 6 = m: \dfrac{6}{5}$

Now we will simplify the values which are in left-hand side (L.H.S) of the equation to make it easier to find the value of m.

L.H.S.

$\tt \implies \dfrac{9}{4} :6$

$\tt \implies \dfrac{9}{4} \div 6$

$\tt \implies \dfrac{9}{4} \times \dfrac{1}{6}$

$\tt \implies \dfrac{3}{8}$

Now, the equation becomes:-

$\tt \implies \dfrac{3}{8} = m : \dfrac{6}{5}$

$\tt \implies \dfrac{3}{8} = \dfrac{5m}{6}$

$\tt \implies m= \dfrac{3 \times 6}{8 \times 5}= \dfrac{9}{20}$

$\implies \boxed{ \tt m= \dfrac{9}{20}}$

Hope it helps

[It's better if you write mixed fractions with the help of using latex. Otherwise, it might be difficult for the answerer to know what you mean by the problem.]