(4¾-1⅚)÷1 1/24×(1⅔+2½)

Answer 1

First, we need to simplify the expression inside the parenthesis:

1⅔ + 2½ = 5/3 + 5/2 (we need to find a common denominator)

= 10/6 + 15/6

= 25/6

Now we can substitute this in the original expression:

(4¾ - 1⅚) ÷ 1 1/24 × (1⅔ + 2½)

= (19/4 - 7/6) ÷ 1 1/24 × 25/6

Next, we need to convert the mixed number into an improper fraction:

1 1/24 = (24/24) + (1/24)

= 25/24

Now, we can multiply the dividend by the reciprocal of the divisor, which is the same as dividing by the divisor:

(19/4 - 7/6) ÷ 1 1/24 × 25/6

= (19/4 - 7/6) × 24/25

To simplify this fraction, we need to find a common denominator:

19/4 = 114/24

7/6 = 28/24

So, the expression becomes:

= (114/24 - 28/24) × 24/25

= (86/24) × (24/25)

= 86/25

Therefore, (4¾ - 1⅚) ÷ 1 1/24 × (1⅔ + 2½) = 86/25.