Question

1 3/4:1/2x=2 5/8:1 1/2

Answer 1

$1 \frac{3}{4} : \frac{1}{2} x=2 \frac{5}{8} : 1 \frac{1}{2} \\ \frac{7}{4} : \frac{1}{2} x= \frac{21}{8} : \frac{3}{2} \\ \frac{7}{4} : \frac{1}{2} x= \frac{21*2}{8*3} \\ \frac{7}{4} : \frac{1}{2} x= \frac{7}{4} \\ \frac{1}{2} x= \frac{7}{4} : \frac{7}{4} \\ \frac{1}{2}x=1 \\ x=1: \frac{1}{2} \\ x=2 \\ OTBET: 2$

Answer 2

To solve the equation 1 3/4 : (1/2)x = 2 5/8 : 1 1/2, we can follow these steps:

First, let's simplify the equation by converting the mixed numbers into improper fractions:

1 3/4 becomes (4 * 1 + 3)/4 = 7/4

2 5/8 becomes (8 * 2 + 5)/8 = 21/8

1 1/2 becomes (2 * 1 + 1)/2 = 3/2

Now the equation becomes:

(7/4) : [(1/2)x] = (21/8) : (3/2)

Next, let's simplify the right side of the equation by multiplying both the numerator and denominator of the second fraction by 2:

(7/4) : [(1/2)x] = (21/8) : (3/2) * (2/2)

This simplifies to:

(7/4) : [(1/2)x] = (21/8) : 3/1

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

(7/4) * (1/2x) = (21/8) * (1/3)

Now, let's simplify both sides of the equation separately:

(7/4) * (1/2x) = (21/8) * (1/3)

7/8x = 7/24

To isolate x, we can multiply both sides of the equation by the reciprocal of 7/8:

(7/8x) * (8/7) = (7/24) * (8/7)

x = (7/24) * (8/7) * (8/7)

x = (7 * 8 * 8) / (24 * 7)

x = 448 / 168

x = 2.6667 (rounded to four decimal places)

Therefore, the solution to the equation is x = 2.6667.