Question

2/3 ×(1/4-5/7)=(2/3×1/4)-(2/3×5/7)​

Answer 1

Answer:

Step-by-step explanation:

yes it is correct by using distributive property

Answer 2

So, here's Your solution - ⬇️

$\implies \sf \frac{2}{3} \times \bigg( \frac{1}{4} - \frac{5}{7} \bigg) = \bigg( \frac{ \cancel2}{3} \times \frac{1}{ \cancel4} _2 \bigg) - \bigg( \frac{2}{3} \times \frac{5}{7} \bigg) \\ \\ \implies\sf \frac{2}{3} \times \bigg( \frac{7 - 20}{28} \bigg) = \bigg( \frac{1}{6} \bigg) - \bigg( \frac{10}{21} \bigg) \\ \\ \implies\sf \: \frac{ \cancel2}{3} \times \bigg( \frac{ - 13}{ \cancel{28}_{ \: \: \: 14}} \bigg) = \frac{7 - 20}{42} \\ \\ \implies\sf \: \bigg( \frac{ - 13}{42} \bigg) = \bigg( \frac{ - 13}{42} \bigg) \\ \\ \therefore \pmb { \red{LHS = RHS}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \pmb{ \red{Hence \: Proved \: ✔}}}$

Note - Scroll left to right to view full solution. & known as distributive property.

Hope this helps you ✔️

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: @ \green {\pmb{♡Brainly \: Honey♡}}$