Question

by what rational numbers should 11/7 be divided so as to get the question -33/24.​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

• By what rational numbers should 11/7 be divided so as to get the quotient -33/24.

Solution:

Let the rational number be divided to get -33/24 be x.

$\therefore \: \: \: \: \: \: \: \: \sf \dfrac{ 11}{7} \: \: \div x \: = \dfrac{ - 33}{24} \\ \\ \implies \: \: \: \: \: \sf \dfrac{ 11}{7} \: \: \times \: \frac{1}{x} = \dfrac{ - 33}{24} \\ \\ \sf \implies \: \: \: \: \: \: \: \frac{1}{x} = \frac{ - 33}{24} \: \div \: \frac{11}{7} \\ \\ \sf \implies \: \: \: \: \: \: \: \frac{1}{x} = \frac{ \cancel { - 33}}{24} \: \times \: \frac{7}{ \cancel{11}} \\ \\ \sf \implies \: \: \: \: \: \: \: \frac{1}{x} = \frac{ - 3 \times 7}{24} \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{x} = \frac{ \cancel{ - 21}}{ \cancel{24}} \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: x \: = \: \: \: \: \: \: \: \: \: \: \: { \boxed{ \bf{ \pink{ \star{\frac{ - 8}{7} }}} }}\: \: \: \: \: \: \: \: \:$

• HENCE SOLVED!

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Verification:

Putting the values:

∴⠀⠀11/7 ÷ -8/7 = -33/24

➟⠀⠀11/7 = -33/24 × -8/7

➟⠀⠀11/7 ÷ -33/24 = -8/7

➟⠀⠀-8/7 = 11/7 × -24/33

➟⠀⠀-8/7 = -24/21

➟⠀⠀-8/7 = -8/7

• Hence Verified!!