Question

X:9/16=4/5:2 1/4 Уравнение

Answer 1

$x:\frac9{16}=\frac45:2\frac14\\\\x:\frac9{16}=\frac45:\frac94\\\\x:\frac9{16}=\frac45\cdot\frac49\\\\x:\frac9{16}=\frac{16}{45}\\\\x=\frac{16}{45}\cdot\frac9{16}=\frac9{45}=\frac15$

Answer 2

To solve the equation X:9/16 = 4/5:2 1/4, we need to convert the mixed fraction 2 1/4 into an improper fraction first.

2 1/4 = (2 * 4 + 1) / 4 = 9/4

Now, the equation becomes:

X:9/16 = 4/5:9/4

To divide fractions, we invert the second fraction and multiply:

X * (16/9) = (4/5) * (4/9)

Now, solve for X:

X = (4/5) * (4/9) * (9/16)

The 9 in the numerator and denominator cancel out:

X = (4/5) * (4/16)

Next, simplify the fraction:

X = (1/5)

So, the solution to the equation is:

X = 1/5