Question

8. What should be subtracted from - 2/3 to get 5/6​

Answer 1

Step-by-step explanation:

let subtract x

so -2/3-x=5/6

x=-2/3-5/6

x=(-4-5)/6

x=-3/2

Answer 2

Answer:

Given:-

What should be subtracted from $- \ \dfrac{2}{3}$ to get $\dfrac{5}{6}$.

To Find:-

The second number.

Note:-

●》Here, we will find second number by First number - Second number = Their diffrence ( by taking some value of second number ).

●》For finding unknown value, known value needs to transposed from its side to another and signs are also changed ( signs are not changed in transposing of multiple and divisional value ). For example - Negative becomes positive.

Solution:-

$\huge\red{First \ \ number = - \ \dfrac{2}{3}}$

$\huge\red{Difference \ \ of \ \ 1_st \ \ and \ \ 2_nd \ \ number = \dfrac{5}{6}}$

$\huge\red{\ \ \ \ Second \ \ number = ?, Let \ \ it \ \ be \ \ "x"}$

☆ According to note first point~

▪︎$First \ \ number - Second \ \ number = Their \ \ difference$

▪︎$- \ \dfrac{2}{3} - x = \dfrac{5}{6}$

☆ According to note second point ( transposing )~

▪︎$- x = \dfrac{5}{6} + \dfrac{2}{3}$

☆ L.C.M = 6~

▪︎$- x = \dfrac{5}{6} × \dfrac{1}{1} + \dfrac{2}{3} × \dfrac{2}{2}$

▪︎$- x = \dfrac{5}{6} + \dfrac{4}{6}$

▪︎$- x = \dfrac{9}{6}$

☆ After reducing in its lowest term~

▪︎$- x = \dfrac{3}{2}$

☆ Minus will go other side~

▪︎$x = - \ \dfrac{3}{2}$

☆ Mixed fraction~

▪︎$x = - 1 \ \dfrac{1}{2}$

$\huge\pink{Second \ \ number = x => - \ \dfrac{3}{2} \ \ or \ \ - 1 \ \dfrac{1}{2}}$

Checking:-

♤ Let's check that First number - Second number gives their difference or not.

• $- \ \dfrac{2}{3} - x = \dfrac{5}{6} \implies ?$

• $- \ \dfrac{2}{3} - - \ \dfrac{3}{2} = \dfrac{5}{6} \implies ?$

♤ L.C.M = 6~

• $- \ \dfrac{2}{3} × \dfrac{2}{2} - - \ \dfrac{3}{2} × \dfrac{3}{3} = \dfrac{5}{6} \implies ?$

• $- \ \dfrac{4}{6} - - \ \dfrac{9}{6} = \dfrac{5}{6} \implies ?$

♤ Minus × Minus = Plus~

• $- \ \dfrac{4}{6} + \dfrac{9}{6} = \dfrac{5}{6} \implies ?$

• $\dfrac{5}{6} = \dfrac{5}{6} \implies ✔$

$\huge\green{Hence, Proved : Second \ \ number = - \ \dfrac{3}{2} \ \ or \ \ - 1 \ \dfrac{1}{2}}$

Answer:-

Hence, Second number = $- \ \dfrac{3}{2} \ \ or \ \ - 1 \ \dfrac{1}{2}$

:)