Question

1) (5/9+1*1/10)*24 2) (4/9-3*1/15)*9 3) (2*3/4+2*1/5)*16 4) (1*3/4+2*4/5)*30 5) (2*1/4-1*3/19)*19

Answer 1

1) 5/9+1/10=50/90+9/90=59/90
(59/90)*24=(59*24)/90=(59*4)/15=236/15=15 11/15
2)4/9-3/15=20/45-9/45=11/45
(11/45)*9=(11*9)/45=11/5=2.2
3)3/2+2/5=15/10+4/10=19/10
(19/10)*16=(19*16)/10=(19*8)/5=152/5=30.4
4)3/4+8/5=15/20+32/20=47/20
(47/20)*30=(47*30)/20=(47*3)/2=141/2=70.5
5)1/2-3/19=19/38-6/38=16/38
(16/38)*19=(16*19)/38=16/2=8

Answer 2

To evaluate the expression you provided, let's break it down step by step:

1) (5/9 + 1 * 1/10) * 24 + 2

First, we perform the multiplication and addition inside the parentheses:

(5/9 + 1 * 1/10) = (5/9 + 1/10) = (50/90 + 9/90) = 59/90

Next, we multiply the result by 24 and add 2:

(59/90) * 24 + 2 = (59 * 24/90) + 2 = 1416/90 + 2 = 47/3 + 2 = 49/3

2) (4/9 - 3 * 1/15) * 9 + 3

Again, let's calculate the multiplication and subtraction inside the parentheses:

(4/9 - 3 * 1/15) = (4/9 - 3/15) = (20/45 - 9/45) = 11/45

Now, we multiply the result by 9 and add 3:

(11/45) * 9 + 3 = (11 * 9/45) + 3 = 99/45 + 3 = 73/15

3) (2 * 3/4 + 2 * 1/5) * 16 + 4

Let's calculate the multiplication and addition inside the parentheses:

(2 * 3/4 + 2 * 1/5) = (6/4 + 2/5) = (30/20 + 8/20) = 38/20

Now, we multiply the result by 16 and add 4:

(38/20) * 16 + 4 = (38 * 16/20) + 4 = 608/20 + 4 = 164/5 + 4 = 184/5

4) (1 * 3/4 + 2 * 4/5) * 30 + 5

Let's calculate the multiplication and addition inside the parentheses:

(1 * 3/4 + 2 * 4/5) = (3/4 + 8/5) = (15/20 + 16/20) = 31/20

Now, we multiply the result by 30 and add 5:

(31/20) * 30 + 5 = (31 * 30/20) + 5 = 930/20 + 5 = 151/4 + 5 = 191/4

5) (2 * 1/4 - 1 * 3/19) * 19

Let's calculate the multiplication and subtraction inside the parentheses:

(2 * 1/4 - 1 * 3/19) = (2/4 - 3/19) = (38/76 - 12/76) = 26/76

Now, we multiply the result by 19:

(26/76) * 19 = (26 * 19/76) = 494/76

Finally, let's add up all the results from the previous calculations:

(49/3) + (73/15) + (184/5) + (191/4) + (494/76) = 118/15 + 73/15 + 368/15 + 191/4 + 494/76

To add fractions, we need a common denominator. In this case, the common denominator is 60:

(8/60) + (292/60) + (2208/60) + (9135/60) + (327/60) = (8 + 292 + 2208 + 9135 + 327)/60 = 12870/60

Simplifying the fraction:

12870/60 = 2145/10 = 214.5

Therefore, the value of the expression is 214.5.

I hope this helps! Let me know if you have any further questions.