Question

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

Answer 1

Answer :

• Answer is -8/7

To find :

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

Solution :

• Let the number be x

11/7 should be divided by x because to get -33/24 as a quotient

》11/7 ÷ x = -33/24

》11/7 = -33/24 × x

》11/7 ÷ -33/24 = x

》x = 11/7 × 24/-33

》x = -24/21

》x = -8/7

Hence , Answer is -8/7

More Explanation :

• Dividend = (Divisor × Quotient) + Remainder
• A number can't be divided by 0 and also result is undefined
• Dividend is a number which is being divided
• Divisor is the number that you are dividing by number
• Quotient is the answer
• If a number is divided by 1, the answer should be the same as the dividend.

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.

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

• HENCE SOLVED!

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Verification:

Putting the values:

$\\ \\ \sf∴⠀⠀ \frac{11}{7} ÷ \frac{ - 8}{7} = \frac{ - 33}{24} \\ \\ \\ \sf➟⠀⠀\frac{11}{7} = \frac{ - 33}{24} × \frac{ - 8}{7} \\ \\ \\ \sf➟⠀⠀\frac{11}{7} ÷ \frac{ - 33}{24} = \frac{ - 8}{7} \\ \\ \\ \sf➟⠀\frac{ - 8}{7} = \frac{11}{7} × \frac{ - 33}{24} \\ \\ \\ \sf➟⠀⠀\frac{ - 8}{7} = \frac{ - 24}{21} \\ \\ \\ \sf➟⠀⠀\frac{ - 8}{7} = \frac{ - 8}{7}$

• Hence Verified!!