Question

The rational to be subtracted from -4/5 to get 2/3 is ___ ​

Answer 1

Step-by-step explanation:

Let the unknown number be = x

$\frac{ - 4}{5} - x = \frac{2}{3} \\ \\ = \frac{ - 4}{5} - \frac{5x}{5} = \frac{2}{3} \\ \\ = \frac{ - 4 - 5x}{5} = \frac{2}{3} \\ \\ = 3( - 4 - 5x) = 2(5) \\ \\ = - 12 - 15x = 10 \\ \\ = - 15x = 10 + 12 \\ \\ = - 15x = 22 \\ \\ \\ x = \frac{ - 22}{15}$

Answer 2

➤ Answer :-

${\tt \longrightarrow \dfrac{( - 4)}{5} - \sf(x) = \tt \dfrac{2}{3}}$

To find the value of 'x' in the following sum, we should subtract the first value and the answer........

${\tt \longrightarrow \sf(x) = \tt \dfrac{( - 4)}{5} - \dfrac{2}{3}}$

${\tt \longrightarrow \dfrac{( - 4)}{5} - \dfrac{2}{3}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 5 and 3...........

LCM of 5 and 3 is 15.

${\tt \longrightarrow \dfrac{( - 4) \times 3}{5 \times 3} - \dfrac{2 \times 5}{3 \times 5}}$

${\tt \longrightarrow \dfrac{( - 12)}{15} - \dfrac{10}{15} = \dfrac{( - 12) - 10}{15}}$

${\tt \longrightarrow \dfrac{( - 22)}{15} = -1 \dfrac{7}{15}}$

$\Huge\therefore$ The other number is ${\tt - 1 \dfrac{7}{15}}$.

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More to know..................

• While adding the two fractions if the first value is not given, we should subtract the answer and the second value.
• While adding the two fractions if the second value is not given, we should subtract the answer and the first value.
• While subtracting the two fractions if the first value is not given, we should add the answer and the second value.
• While subtracting the two fractions if the second value is not given, we should subtract the first value and the answer.