5/6 / 1/3 equals what

Question

asked Oct 9, 2022 179k views

1 Answer

Ihor Rybak · Answer 1 · 2022-10-13T15:11:47+0000

Answer:

(5)/(2)

Explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

(a)/(b)

(c)/(d)

The division:

$\displaystyle ( (a)/(b))/( (c)/(d))$

can be done by multiplying by the reciprocal of the denominator:

$\displaystyle ( (a)/(b))/( (c)/(d))=(a)/(b)\cdot(d)/(c)$

We are given the fractions 5/6 and 1/3. Their division is:

$\displaystyle ( (5)/(6))/( (1)/(3))=(5)/(6)\cdot(3)/(1)$

Simplifying:

$(5)/(6)\cdot(3)/(1)=(5)/(2)$

Answer:
$\mathbf{(5)/(2)}$