Question

Difference between greatest and least number -7/15 3/16 2/7 3/24

Answer 1

${\huge {\underline {\sf {Answer}}}}$

${\underline {\rm {Given::}}}$

• Difference between greatest and least number -7/15 3/16 and 2/7 3/24

${\underline {\rm{Solution::}}}$

We have to find the the difference between the greatest and smallest number .

For this,

• First, make the denominators same
• Do prime factorisation of the given numbers
• The answer is 1680

●1

$\implies\dfrac {-7}{15}$

$\implies\dfrac {-7×112}{1680}$

$\implies\dfrac {-784}{1680}$

●2

$\implies\dfrac {3}{16}$

$\implies\dfrac {3×105}{1680}$

$\implies\dfrac {315}{1680}$

●3

$\implies\dfrac {2}{7}$

$\implies\dfrac {2×240}{1680}$

$\implies\dfrac {480}{1680}$

●4

$\implies\dfrac {3}{24}$

$\implies\dfrac {3×70}{1680}$

$\implies\dfrac {210}{1680}$

• Now, we have the greatest number = $\dfrac {480}{1680}$ = $\dfrac {2}{7}$ and the least number is $\implies\dfrac {-784}{1680}$ = $\implies\dfrac {-7}{15}$

${\underline{\star {\rm{Difference\:of\:the\:values}}}}$

$\implies\dfrac {2}{7}-\dfrac {-7}{15}$

$\implies\dfrac {30+49}{105}$

$\implies\dfrac {79}{105}$

Thus, the Difference between greatest and least number is 79/105.

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