Question

find the following products in their lowest forms: a) -24/7 × 21/72. b) -35×-3/56 c). 39/50×-25/26 and d). -7/19×38/-35

Answer 1

Heya Friend ✋✋✋

( a )
$\frac{ - 24}{7} \times \frac{21}{72} \\ \\ 21 \: and \: 7 \: will \: get \: divided \: by \: 7 \\ \\ 24 \: and \: 72 \: will \: get \: divided \: by \: 24 \\ \\ so.... \\ \\ \frac{ - 1}{1} \times \frac{3}{3} = \frac{ - 3}{3} = - 1$


(b)
$- 35 \times \frac{ - 3}{56} \\ \\ here.... \: - 35 \: and \: 56 \: can \: be \: divided \: by \: 7 \\ \\ = - 5 \times \frac{ - 3}{8} \\ \\ = \frac{15}{8} = 1.875$
(c)
$\frac{39}{50} \times \frac{ - 25}{26} \\ \\ 39 \: and \: 26 \: can \: be \: divided \: by \: 13 \: .... \: 50 \: and \: - 25 \: can \: be \: divided \: by \: 25 \\ \\ \frac{ 3}{2} \times \frac{ - 1}{2} = - \frac{3}{4}$


(D)
$\frac{ - 7}{19} \times \frac{38}{ - 35} \\ \\ - 7 \: and \: - 35 \: can \: be \: divided \: by \: 7 \: and \: \frac{ -7 }{ -35 } becomes \: \frac{ + 7}{ + 35} \\ \\ 19 \: and \: 38 \: can \: be \: divided \: by \: 19... \\ \\ so.... \\ \\ = \frac{1 }{1} \times \frac{2}{5} = \frac{2}{5}$


Hope it helps

Answer 2

Kindly refer to the attachment.

Hope it helps you :)

Regards,
Shobana