Question

8 2/5 : 3 4/15 =6 4/7 : 1 1/2х

Answer 1

8 2/5 : 3 4/15 =6 4/7 : 1 1/2х
42/5 : 49/15 = 46/7 : 3/2х
42/5 * 15/49 = 46/7 * 2/3х
6*3/7=92/21х
18/7=92/21х
х=18/7:92/21
х=18/7 * 21/92
х=9*3/46
х=27/46

Answer 2

To solve the expression "8 2/5 : 3 4/15 = 6 4/7 : 1 1/2x," we'll convert the mixed numbers into improper fractions and then perform the necessary calculations.

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

8 2/5 = (8 × 5 + 2)/5 = 42/5 3 4/15 = (3 × 15 + 4)/15 = 49/15 6 4/7 = (6 × 7 + 4)/7 = 46/7 1 1/2 = (1 × 2 + 1)/2 = 3/2

Now we can rewrite the expression:

(42/5) : (49/15) = (46/7) : (3/2x)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(42/5) × (15/49) = (46/7) × (2x/3)

Simplifying the expression:

(42/5) × (15/49) = (46/7) × (2x/3) (42/1) × (3/49) = (46/1) × (2x/7) (42 × 3)/(1 × 49) = (46 × 2x)/(1 × 7)

126/49 = (92x)/7

To solve for x, we'll cross-multiply and then divide:

(126 × 7) = (92x × 49) 882 = 4508x

Dividing both sides by 4508:

882/4508 = (4508x)/4508 0.1958 = x

Therefore, the value of x is approximately 0.1958.