Question

3/4 : 5/8 3 1/9 : 2 4/15 0,8 : 4 4/5 2 2/19 * (2 3/8 : 1 1/4

Answer 1

3/4 : 5/8 =3/4*8/5=6/5=1 1/5

3 1/9 : 2 4/15=28/9*15/34=70/51=

1 19/51

0,8 : 4 4/5=4/5*5/24=1/6

2 2/19 * (2 3/8 : 1 1/4)=40/19*19/8*4/5=

4

Answer 2

3/4*8/5=6/5=1 1/5

28/9*15/34=70/51=1 19/51

8/10*5/24=1/6

40/19*19/8*4/11=20/11=1  9/11

Answer 3

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Simplify the fractions on both sides of the colons: 3/4 : 5/8 = (3/4) ÷ (5/8) = (3/4) * (8/5) = (3 * 8) / (4 * 5) = 24/20 = 6/5 3 1/9 : 2 4/15 = (28/9) ÷ (34/15) = (28/9) * (15/34) = (28 * 15) / (9 * 34) = 420/306 = 70/51 0.8 : 4 4/5 = 0.8 ÷ (24/5) = 0.8 * (5/24) = 4/24 = 1/6

2. Multiply the mixed numbers: 2 2/19 * (2 3/8) = (41/19) * (19/8) = (41/1) * (1/8) = 41/8

3. Divide the mixed numbers: 1 1/4 ÷ (41/8) = (5/4) ÷ (41/8) = (5/4) * (8/41) = 40/164 = 10/41

Now, let's put all the results together: 6/5 * 70/51 * 1/6 * 10/41

To simplify this expression, multiply all the fractions together:

(6 * 70 * 1 * 10) / (5 * 51 * 6 * 41) = 4200 / 78330

This fraction can be further simplified. The greatest common divisor (GCD) of 4200 and 78330 is 30. Dividing both the numerator and denominator by 30:

4200 ÷ 30 = 140 78330 ÷ 30 = 2611

So, the simplified fraction is:

140/2611.