Question

Find the difference of 17/24 and 15/16​

Answer 1

Explanation:

17/24-15/16

17-30/48

-13/48

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Answer 2

$\bf \frac{17}{24} - \frac{15}{16} = \frac{ - 11}{48}$

Given:

• $\frac{17}{24} \: and \: \frac{15}{16}$

To find:

• Find the difference between given fractions.

Solution:

Step 1:

Take LCM of 24 and 16.

To find the difference between the given numbers, do prime factors of 24 and 16.

$24 = 2 \times 2 \times 2 \times 3$

$16 = 2 \times 2 \times 2 \times 2$

$LCM(24,16) = {2}^{4} \times 3$

$\bf LCM(24,16) = 48$

Step 2:

Find the difference.

$\frac{17}{24} - \frac{15}{16} = \frac{(17 \times 2) - (15 \times 3)}{48}$

$\frac{17}{24} - \frac{15}{16} = \frac{34- 45}{48}$

$\frac{17}{24} - \frac{15}{16} = \frac{ - 11}{48}$

Thus,

$\bf\frac{17}{24} - \frac{15}{16} = \frac{ - 11}{48}$

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