Respuesta :
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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