Question

What should be subtracted form 5/7 to get 1/21

Answer 1

Answer:

$let \: the \: number \: subtracted \: be \: x \\5 \div 7 \: - x = 1 \div 21 \\ take \: {x} \: to \: the \: right \: side \: \\ then \: take \: lcm \: of \: 7and \: 21 \\ then \: lcm = 21 \\ subtract15 - 1 \div 21 = 14 \div 21 \\ therefore \: x = 2 \div 3$

Answer 2

$\large {\green {\sf {\underline {\underline{Step-by-step \: Explanation}}}:-}}$

Let the number to be subtracted be x.

Then,

$\frac{5}{7} - x = \frac{1}{21} \\ \\ x = \frac{5}{7} - \frac{1}{21} = ( \frac{5 \times 3}{7 \times 3}) - \frac{1}{21} \\ \\ = \frac{15 - 1}{21} = \frac{14}{21} = \frac{2}{3} \\ \\ Hence, \frac{2}{3} \: should \: be \: subtracted \: from \: \frac{5}{7} to \: get \: \frac{1}{21}.$

$\large\color{blue}{I \: hope \: this \: answer \: will \: be \: helpful.}$

$\huge\dag\sf\blue{By \: Divyanshu}$