Question

prove that :-2/3×[7/15-4/9+1/6] = [-2/3×7/15] -[-2/3×7/15]-[-2/3×4/9] +[-2/3×1/6]​

Answer 1

Answer:

3 1/3 ÷ 5/3 - 1/10 of 2 ½ + 7/4

= (3 × 3 + 1)/3 ÷ 5/3 – 1/10 of (2 × 2 + 1)/2 + 7/4

= 10/3 ÷ 5/3 - 1/10 of 5/2 + 7/4

[‘of’ simplified]

= 10/3 × 3/5 – ½ × ½ + 7/4 [‘÷’ simplified]

= 2/1 - ¼ + 7/4 [‘×’ simplified]

= (2 × 4)/1 × 4) - (1 × 1)/4 × 1) + (7 × 1)/4 × 1)

= 8/4 - ¼ + 7/4

[Now the denominators are same of all the fractions]

= (8 – 1 + 7)/4 [‘+’ and ‘-‘ simplified]

= 14/4

= 7/2

Answer 2

Answer:

it is a wrong question....

if it is to prove that: -2/3(7/15-4/9+1/6)=(-2/3×7/15)-(-2/3×4/9)+(-2/3×1/6)

then here is the answer;

Step-by-step explanation:

hope this answer helps you.....

mark it as brainlist........