Question

what should be added to twice the rational number (-5/3) to obtain 7/4?

Answer 1

Let the number which is to be found be x.

So,

$- \frac{5}{3} + x + x = \frac{7}{4} \\ \\ - \frac{5}{3} + 2x = \frac{7}{4} \\ \\ 2x = \frac{7}{4} + \frac{5}{3} \\ \\ 2x = \frac{21 + 20}{12} \\ \\ 2x = \frac{41}{12} \\ \\x = \frac{41}{12 \times 2} \\ \\ \bf x = \frac{41}{24}$

Check:

$- \frac{5}{3} + \frac{41}{24} + \frac{41}{24} = \frac{7}{4} \\ \\ \frac{ - 40 + 82}{24} = \frac{7}{4} \\ \\ \frac{42}{24} = \frac{7}{4} \\ \\ \frac{7}{4} = \frac{7}{4}$

Hence proved!

Answer 2

Answer:61/12

Step-by-step explanation: