Verified answer

(1/13)² * (1/4 + 1/6) ÷ (5/13)

= (1/169) * (3/12 + 2/12) ÷ (5/13)

= (1/169) * (5/12) ÷ (5/13)

= (1/169) * (5/12) * (13/5)

= (1 * 5 * 13)/(169 * 12 * 5)

= 1/156

Hope this helps :)

Feel free 2 email me if u have any more questions !!

Okay well let's to the work inside the parenthesis first (gotta correctly do your order of operations)

- (1/13) = (1²)/(13²) = (1*1)/(13*13) = 1/169

- For (1/4 + 1/6) you've gotta rename to like divisors, so 1/4 * 6/6 = 6/24 and 1/6 * 4/4 = 4/24, so 6/24 + 4/24 = 10/24.

So what we're up to now is (1/169) * (10/24) / (5/13)

Remember that when dividing by a fraction you're actually multiplying by the reciprocal. Because of this the whole problem can be changed into a multiplication problem, (1/169) * (10/24) * (13/5)

Now you can just multiply the numerators and divisors (denominators) together: 1 * 10 * 13 = 130, and 169 * 24 * 5 = 20280, so that leaves you with 130/20280. Since 13 and 10 are your common factors, the fraction can be simplified to 1/156.

(1/13) * (1/13) * (5/12) divided by 5/13

--->

(1/169) * (5/12) divided by 5/13

---->

5/2028 divided by 5/13

flip divide to multply

5/2028 multiply 13/5

The answer will be = 1/156

(1 / 13)^2 * ((1 / 4) + (1 / 6)) / (5 / 13)

(1 / 13)(1 / 13)((3 / 12) + (2 / 12)) / (5 / 13)

(1 / 13)(1 / 13)(5 / 12) / (5 / 13)

(5 / (13 * 13 * 12)) / (5 / 13)

(5 / (13 * 13 * 12)) * (13 / 5)

(5 * 13) / (5 * 12 * 13 * 13)

1 / (12 * 13)

1 / 156

The answer is, 6.4 x 10^-3

0.00641025641

26.026151