Question

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$\frac{7}{24} - \frac{17}{36} =$
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Answer 1

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.

Answer 2

$\huge \bold \color{green}༆ \mathfrak \red{required \: answer}༆$

$\huge \frac{7}{24} - \frac{17}{36} \\ \\ \: = \frac{(7 \times 3) - (17 \times 2)}{72} \\ \\ = \frac{21 - 34}{72} \\ \\ = \frac{13}{72} \\ \\ = 0.180 \bar5$

so the right answer is 13/72 or 0.1805