Question

Brent divided 3 1/5 by a number and got 4 1/2. What number did he divide by?

Answer 1

Brent divided 3 1/5 by a number and he got 4 1/2 . we have to find number did he divide by.

Let number is X

according to question,
$\large{\frac{3\frac{1}{5}}{X}=4\frac{1}{2}}$

$\large{\frac{\frac{16}{5}}{X}=\frac{9}{2}}$

$\large{X=\frac{16\times2}{5\times9}}$

$\large{X=\frac{32}{45}}$

Answer 2

Answer:

Given: Brent divided $3\frac{1}{5}$  by a number and got  $4\frac{1}{2}$

let the number be x.

Then from the given condition we have;

$\frac{3\frac{1}{5}}{x} = 4\frac{1}{2}$ or

$\frac{\frac{16}{5}}{x} = \frac{9}{2}$

Use cross multiply:

$\frac{a}{b}= \frac{c}{d}$

then, ad = bc

Using cross multiplication: we have,

$x \cdot \frac{9}{2}=\frac{16}{5} \cdot 1$ or

Multiplication property of equality states that multiply the same number to both sides of an equation;

multiply by $\frac{2}{9}$ to both sides of an equation; we get

$x = \frac{16}{5} \cdot \frac{2}{9}$

Simplify:

$x =\frac{32}{45}$

Therefore, the number is, $x =\frac{32}{45}$