Question

83) The product of two rational numbers is 25/42
If one of them is - 2 6/7 find the other,

Answer 1

Answer:

$\frac{25}{156}$

Answer 2

Answer:

Q. The product of two rational numbers is 25/42

If one of them is - 2 6/7find the other

we've to form an equation for the data that is

- 2 \frac{6}{7} \times x = \frac{25}{42} \\ \frac{ - 20}{7} \times x = \frac{25}{42} \\ \frac{ - 20x}{7} = \frac{25}{42} \\ - 20x = \frac{25}{42} \times 7 \\ - 20x = \frac{175}{42}

x = \frac{175}{45} \div 20 \\ x = \frac{175}{42} \times \frac{1}{20 } \\ x = \frac{175}{840}

x = \frac{175 \div 5}{840 \div 5} \\ x = \frac{35}{168} \\ x = \frac{35 \div 7}{168 \div 7} \\ x = \frac{5}{24}

therefore the value of x

or the unknown number is -5/24

minus sign because we didn't use it earlier