Question

Выполните умножение : 1) 9 3/5 * 10/21 2) 3 11/12 * 9/94 3) 1 5/7 * 6 1/8 4) 3 5/9 * 5 1/45)1 13/ * 5/8 * 2 2/7 6) 2 1/4 * 16/27 * 4 1/3

Answer 1

9 3/5 х 10/21=4 4/7
3 11/12 х 9/94=3/8
1 5/7 х 6 1/8=10 1/2
3 5/9 х 5 1/45=17 347/405
?
2 1/4 х 16/27 х 4 1/3=5 7/9

Answer 2

1) 9 3/5 * 10/21 To multiply fractions, we multiply the numerators together and the denominators together: = (9 * 3) / (5 * 21) = 27 / 105

2) 3 11/12 * 9/94 = (3 * 12 + 11) / 12 * 9/94 = (36 + 11) / 12 * 9/94 = 47 / 12 * 9/94 = 423 / 1128

3) 1 5/7 * 6 1/8 = (1 * 7 + 5) / 7 * (6 * 8 + 1) / 8 = (7 + 5) / 7 * (48 + 1) / 8 = 12 / 7 * 49 / 8 = 588 / 56

4) 3 5/9 * 5 1/45 = (3 * 9 + 5) / 9 * (5 * 45 + 1) / 45 = (27 + 5) / 9 * (225 + 1) / 45 = 32 / 9 * 226 / 45 = 7232 / 405

5) 1 13/ * 5/8 * 2 2/7 = (1 * 8 + 13) / 8 * 5/8 * (2 * 7 + 2) / 7 = (8 + 13) / 8 * 5/8 * (14 + 2) / 7 = 21 / 8 * 5/8 * 16 / 7 = 1680 / 448

6) 2 1/4 * 16/27 * 4 1/3 = (2 * 4 + 1) / 4 * 16/27 * (4 * 3 + 1) / 3 = (8 + 1) / 4 * 16/27 * (12 + 1) / 3 = 9 / 4 * 16/27 * 13 / 3 = 1872 / 324

Now we multiply all the results together: (27/105) * (423/1128) * (588/56) * (7232/405) * (1680/448) * (1872/324)

To multiply fractions, we multiply the numerators together and the denominators together: = (27 * 423 * 588 * 7232 * 1680 * 1872) / (105 * 1128 * 56 * 405 * 448 * 324)

This is a very large number and cannot be simplified further.