Respuesta :

9/5 = 54/30

1/6 = 5/30

54/30 - 5/30 = 49/30 = 1 19/30

Answer:

The difference is as follows:

  [tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{49}{30}[/tex]

Step-by-step explanation:

We are given two fractions and we are asked to find there difference.

The expression is as follows:

   [tex]\dfrac{9}{5}-\dfrac{1}{6}[/tex]

( since, the denominator of two fractions is different hence we take the least common multiple of the denominators.

i.e. lcm{5,6}=30 )

Now, we proceed as follows:

   [tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{9\times 6-1\times 5}{30}[/tex]

i.e.

   [tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{54-5}{30}[/tex]

i.e.

   [tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{49}{30}[/tex]

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