Question

52\45-(3 3\5-1 7\9)*(1\2-1\3)

Answer 1

=23/27
1)3 3/5-1 7/9=3 27/45-1 35/45=2 72/45-1 35/45=1 37/45
2)1/2-1/3=3/6-2/6=1/6
3)1 37/45×1/6=82/45×1/6=82/270=41/135
4)52/45-41/135=156/135-41/135=115/135=23/27

Answer 2

To solve the given expression, let's break it down step by step:

First, let's simplify the expression within the inner parentheses:

3 3/5 - 1 7/9

To subtract mixed numbers, we need to convert them to improper fractions:

3 3/5 = (5 * 3 + 3) / 5 = 18/5

1 7/9 = (9 * 1 + 7) / 9 = 16/9

Now we can subtract:

18/5 - 16/9

To subtract fractions, we need a common denominator. In this case, the common denominator is 5 * 9 = 45:

(18/5)(9/9) - (16/9)(5/5) = 162/45 - 80/45 = (162 - 80) / 45 = 82/45

Now let's simplify the expression within the outer parentheses:

1/2 - 1/3

To subtract fractions, we need a common denominator. In this case, the common denominator is 2 * 3 = 6:

(1/2)(3/3) - (1/3)(2/2) = 3/6 - 2/6 = (3 - 2) / 6 = 1/6

Now we can substitute the simplified values back into the original expression:

52/45 - (82/45)(1/6)

To multiply fractions, we simply multiply the numerators and denominators:

(82/45)(1/6) = (82 * 1) / (45 * 6) = 82/270

Now we can subtract the final expression:

52/45 - 82/270

To subtract fractions, we need a common denominator. In this case, the common denominator is 45 * 270 = 12150:

(52/45)(270/270) - (82/270)(45/45) = 14040/12150 - 3690/12150 = (14040 - 3690) / 12150 = 10350/12150

The final result is 10350/12150, which can be simplified further if desired.