Question

(12-76/81 : 64/9 ) * 9/37

Answer 1

$(12-\frac{76}{81}:\frac{64}{9})\cdot \frac{9}{37}=(12-\frac{76\cdot 9}{81\cdot 64})\cdot \frac{9}{37}=(12-\frac{19}{9\cdot 16})\cdot \frac{9}{37}=\\\\=\frac{12\cdot 9\cdot 16-19}{9\cdot 16}\cdot \frac{9}{37}=\frac{1709}{16\cdot 37}=\frac{1709}{592}=2\frac{525}{592}$

Answer 2

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Answer 3

To solve the expression, follow the order of operations: parentheses first, then division, and finally multiplication.

Expression: (12 - 76/81 : 64/9) * 9/37

Step 1: Solve the division inside the parentheses.

12 - 76/81 : 64/9

To divide fractions, invert the second fraction and multiply:

76/81 : 64/9 = 76/81 * 9/64

Step 2: Multiply the fractions.

76/81 * 9/64 = (76 * 9) / (81 * 64) = 684 / 5184 = 57 / 432

Step 3: Simplify the fraction.

57 / 432 = 19 / 144

Now the expression becomes:

12 - 19/144 * 9/37

Step 4: Multiply the fractions.

19/144 * 9/37 = (19 * 9) / (144 * 37) = 171 / 5328

Step 5: Simplify the fraction.

171 / 5328 = 19 / 592

Now, the final result of the expression is:

12 - 19/592