Which expression is equivalent to (-5/6) / (10/3)?

Question

asked Apr 27, 2022 45.1k views

1 Answer

Pushpavanthar · Answer 1 · 2022-05-02T06:05:28+0000

Answer:

$(\left(-(5)/(6)\right))/(\left((10)/(3)\right))=-(1)/(4)$

Explanation:

Given the expression

$(\left(-(5)/(6)\right))/(\left((10)/(3)\right))$

Let us solve the expression

$(\left(-(5)/(6)\right))/(\left((10)/(3)\right))=(-(5)/(6))/((10)/(3))$

Apply fraction rule:
(-a)/(b)=-(a)/(b)

=-((5)/(6))/((10)/(3))

Divide fractions:
$((a)/(b))/((c)/(d))=(a\cdot \:d)/(b\cdot \:c)$

$=-(5\cdot \:3)/(6\cdot \:10)$

Multiply the numbers:
$6\cdot \:10=60$

$=-(5\cdot \:3)/(60)$

Multiply the numbers:
$5\cdot \:3=15$

=-(15)/(60)

Cancel the common factor: 15

=-(1)/(4)

Therefore, we conclude that the equivalent expression is:

$(\left(-(5)/(6)\right))/(\left((10)/(3)\right))=-(1)/(4)$