Question

( 6,1/7-5,3/4):11/14+(3,3/4-1,5/6):1/6=

Answer 1

( 6,1/7-5,3/4):11/14+(3,3/4-1,5/6):1/6=(43\7-23\4):11\14+(15\4-11\6):1\6=
=(172\28-161\28):1\6+(45\12-22\12):1\6=11\28*6\1+23\12*6\1=33\14+23\2=
=33\14+161\14=194\14=97\7=13 6\7

Answer 2

To simplify the given expression, let's start by converting the mixed numbers to improper fractions:

6 + 1/7 = (6 * 7 + 1) / 7 = 43/7 5 + 3/4 = (5 * 4 + 3) / 4 = 23/4 3 + 3/4 = (3 * 4 + 3) / 4 = 15/4 1 + 5/6 = (1 * 6 + 5) / 6 = 11/6

Now we can rewrite the expression:

(43/7 - 23/4) / 11/14 + (15/4 - 11/6) / 1/6

To simplify further, let's find a common denominator for the fractions:

Denominator = 7 * 4 = 28

Now we can rewrite the expression with the common denominator:

((43/7) * (4/4) - (23/4) * (7/7)) / (11/14) + ((15/4) * (6/6) - (11/6) * (4/4)) / (1/6)

Simplifying each part separately:

((43 * 4 - 23 * 7) / 28) / (11/14) + ((15 * 6 - 11 * 4) / 24) / (1/6)

(172 - 161) / 28 / (11/14) + (90 - 44) / 24 / (1/6)

11 / 28 / (11/14) + 46 / 24 / (1/6)

Now we can simplify the divisions:

11 / 28 * (14/11) + 46 / 24 * (6/1)

Canceling out common factors:

1 * 2 + 23/2

2 + 11.5

The result is 13.5.