Question

Find −5 5/6÷(−4 9/10). Write your answer as a mixed number in simplest form.

Answer 1

Answer: $1\dfrac{4}{21}$ .

Step-by-step explanation:

Given problem : $\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)$

First we convert mixed fraction into improper fractions as

$-5\dfrac{5}{6}=-\dfrac{5\times6+5}{6}=-\dfrac{30+5}{6}=-\dfrac{35}{6}\\-4\dfrac{9}{10}=-\dfrac{10\times4+9}{10}=-\dfrac{40+9}{10}=-\dfrac{49}{10}$

Now , plug these values in the given expression , we get

$\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}$

Hence, the answer is $1\dfrac{4}{21}$ .