Question

5 8/9 : 1 17/36 + 1 1/4 * 5/21 ​

Answer 1

Відповідь:$\frac{74213}{29484}$

$5\frac{8}{9}$÷$\frac{117}{37}$+$\frac{11}{4}$×$\frac{5}{21}$ = $\frac{53}{9}$×$\frac{37}{117}$+$\frac{55}{84}$ = $\frac{1961}{1053}$+$\frac{55}{84}$ = $\frac{74213}{29484}$

Answer 2

To solve the expression, we'll follow the order of operations (PEMDAS/BODMAS).

First, let's convert all mixed numbers to improper fractions:

5 8/9 = (5 * 9 + 8) / 9 = 53/9

1 17/36 = (1 * 36 + 17) / 36 = 53/36

1 1/4 = (1 * 4 + 1) / 4 = 5/4

Now, let's perform the calculations:

5 8/9 : 1 17/36 + 1 1/4 * 5/21

= 53/9 : 53/36 + 5/4 * 5/21

To simplify the calculations, we'll convert the division operation to multiplication by the reciprocal:

= 53/9 * 36/53 + 5/4 * 5/21

Now, let's simplify each part separately:

53/9 * 36/53 = (53 * 36) / (9 * 53) = 36/9 = 4

5/4 * 5/21 = (5 * 5) / (4 * 21) = 25/84

Substituting the results back into the original expression:

4 + 25/84

To add these fractions, we need a common denominator, which is the least common multiple of 84 and 1 (which is 84):

4 * 84/84 + 25/84

= 336/84 + 25/84

Now, we can combine the fractions:

(336 + 25) / 84 = 361/84

The final answer is 361/84.