Question

Divide 8 1/2 by the positive difference 4 4/5 and 7 7/10​

Answer 1

$\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)$

$\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)$

$\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)$

$\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)$

$\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}$

$\\ \sf\longmapsto \dfrac{17(10)}{2(29)}$

$\\ \sf\longmapsto \dfrac{170}{58}$

$\\ \sf\longmapsto \dfrac{85}{29}$

$\\ \sf\longmapsto 2\dfrac{27}{29}$

Answer 2

Answer:

• 2 27/29

Step-by-step explanation:

The positive difference is the result of subtraction of the smaller number from the greater number.

The positive difference of 4 4/5 and 7 7/10 is:

• 7 7/10 - 4 4/5 =
• 77/10 - 48/10 =
• 29/10

Now division:

• 8 1/2 : 29/10 =
• 17/2 * 10/29 =
• 85/29 =
• 2 27/29