Question

Решить примеры (3-2 1/16)*3 3/11-16*2 1/4*1/6= 1 3/4*12*4/7*1/2*30=

Answer 1

3-2=1
1-1/16=9/16

9/16*3=27/16=1 11/16

Answer 2

Let's break this down into smaller steps to make it easier to solve:

(3-2 1/16)3 3/11 - 162 1/4*1/6 =

(2 15/16)3 3/11 - (33/4)(1/6) =

(2 15/16)(34/11) - (11/4)(1/6) =

(87/16)*(34/11) - (11/24) =

33 261/352 - 11/24 =

(1419/352) - (11/24) =

To simplify this expression, we need to find a common denominator for the fractions 352 and 24. The least common multiple of 352 and 24 is 1056, so we can rewrite the expression as:

(1419/352)(3/3) - (11/24)(44/44) =

(4257/1056) - (484/1056) =

3773/1056

Now let's simplify the second expression:

1 3/4 * 12 * 4/7 * 1/2 * 30 =

7/4 * 12 * 4/7 * 1/2 * 30 =

3 * 2 * 30 =

180

Therefore, the final answer is:

3773/1056 * 180 = 67755/352.