6 – [5/6 + {3 7/8 – 2 1/3 + 1 7/9}] = _____________?

6 – [5/6 + {3 7/8 – 2 1/3 + 1 7/9}] = _____________?

A. 3 9/13
B. 1 9/11
C. 2 11/72
D. None of these
Explanation:
6 – [5/6 + {3 7/8 – 2 1/3} + 1 7/9] => 6 – [5/6 + {3 1/8 – 7/3} + 16/9]
=> 6 – [5/6 + {(279 – 168 + 128)/72}] => 6 – 5/6 + 239/72
=> 6 – (60 + 239)/72 => 6 – 46 – 11/72
=> 2 – 11/72 => 1 + 1 – 11/72 => 1 + 61/72 = 1 61/72

Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?

Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?

A. x = 4, y = 8
B. x = 4, y = 4
C. x = 2, y = 4
D. x = 8, y = 4
Explanation:
3 1/x * y 2/5 = 13¾
=> (3x + 1) / x + (5y + 1) / 2 += 55 / 4
only choice (4) i.e x = 8 and y = 4 satisfies the given equation.
3 (1/8) * 4 (2/5) = (25 / 8 ) * (22 / 5) = 55/4 = 13¾