Question

what should we subtract from 5/8 to make it -1​
with method

Answer 1

Answer:

• We should subtract 13/8 from 5/8 to make it - 1.

Step-by-step explanation:

Let us assume:

• x is subtracted from 5/8 to make it - 1.

To Find:

• The value of x.

Finding the value of x:

⟶ 5/8 - x = - 1

• Taking 8 as LCM.

⟶ (5 - 8x)/8 = - 1

• Cross multiplication.

⟶ 5 - 8x = - 1 × 8

⟶ 5 - 8x = - 8

⟶ 8x = 5 + 8

⟶ 8x = 13

⟶ x = 13/8

∴ The value of x = 13/8

Answer 2

Answer:

$\large \underline{\sf \pmb{Required \: Question }}$

• ➠ What should we subtract from 5/8 to make it -1 with method

$\begin{gathered} \: \: \end{gathered}$

$\large \underline{\sf \pmb{Solution}}$

• ➠ Let the number be x, which is reduced from 5/18 to -1.

According to the Question

$\longrightarrow \bf { \dfrac{5}{8} - x = - 1}$

• ➞ Taking the LCM

$\implies \sf { \dfrac{(5 \times 1) - (x \times 8)}{8} = - 1}$

$\implies \sf \dfrac{5 - 8x}{8} = - 1$

• ➞ By cross multiplication

$\implies \sf {5 - 8x} = ( - 1 \times 8)$

$\implies \sf {5 - 8x} = -8$

$\implies \sf {( 5+8)} = 8x$

$\implies \sf {13} = 8x$

$\implies \sf \green{x = \dfrac{13}{8}}$

$\: \: {\underline{ \boxed{\bf \red {x = \dfrac{13}{8}}}}}$

$\begin{gathered} \: \: \end{gathered}$

$\large \underline{\sf \pmb{Verification}}$

$\longrightarrow \bf { \dfrac{5}{8} - x = - 1}$

• ➞ Substituting the values of x = 13/8

$\implies\sf { \dfrac{5}{8} - \dfrac{13}{8} = - 1}$

• ➞ Here both denominators are same,So

$\implies\sf { \dfrac{5 - 18}{8} - =( - 1 )}$

$\implies \sf \cancel{ \dfrac{ - 8}{8}} - =( - 1 )$

$\implies \sf\green{( - 1)= ( - 1)}$

$\: \: \large\underline{\boxed{ \bf \red{LHS=RHS}}}$

• Hence Verified ✔

$\begin{gathered} \: \: \end{gathered}$

$\large \underline{\sf \pmb{Therefore}}$

• ➠ 13/8 is the number that when substrated to 5/8 becomes -1.