Question

question
what is the value of $\left(-\frac{5}{6}\
ight)\cdot\left(-\frac{3}{4}\
ight)$?
$\frac{8}{10}$
$-\frac{8}{10}$
$-\frac{5}{8}$
$\frac{5}{8}$

Explanation:

Step1: Multiply numerators and denominators

When multiplying two fractions $\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}$. Here $a = - 5$, $b=6$, $c=-3$, $d = 4$. So $(-\frac{5}{6})\times(-\frac{3}{4})=\frac{(-5)\times(-3)}{6\times4}$.

Step2: Calculate products

$(-5)\times(-3)=15$ and $6\times4 = 24$. So the fraction is $\frac{15}{24}$.

Step3: Simplify the fraction

Find the greatest - common divisor of 15 and 24, which is 3. Divide both the numerator and denominator by 3: $\frac{15\div3}{24\div3}=\frac{5}{8}$.

Answer:

$\frac{5}{8}$