1.

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Answer»

Answer:

-0.18055555555

Step-by-step explanation:

GIVEN that,

An expression, \dfrac{7}{24}-\dfrac{17}{36}

24

7

36

17

.

To FIND,

The value of the above expression.

Solution,

Let's write the given expression again,

\dfrac{7}{24}-\dfrac{17}{36}

24

7

36

17

Now TAKING LCM of 24 and 36

Prime FACTORIZATION of 24 = 2×2×3

Prime factorization of 36 = 2×3×3×2

LCM of 24 and 36 = 72

\begin{gathered}\dfrac{7}{24}-\dfrac{17}{36}=\dfrac{7\times 3-17\times 2}{72}\\\\=\dfrac{-13}{72}\end{gathered}

24

7 −

36

17

=

72

7×3−17×2

=

72

−13

So, the value of the given expression is \dfrac{-13}{72}

72

−13.



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