Solve $\left(\frac{8}{20}\right)\left(\frac{7}{19}\right)\left(\frac{6}{18}\right)$ =

Full solution

Q. Solve

\left(\frac{8}{20}\right)\left(\frac{7}{19}\right)\left(\frac{6}{18}\right)

Simplify Fraction $(8/20)$ : Simplify each fraction individually. $\newline$ First, simplify $(8/20)$ by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $8 \div 4 = 2$ $\newline$ $20 \div 4 = 5$ $\newline$ So, $(8/20)$ simplifies to $(2/5)$ .
Simplify Fraction $(6/18)$ : Simplify the fraction $(6/18)$ in a similar manner. $\newline$ The greatest common divisor of $6$ and $18$ is $6$ . $\newline$ $6 \div 6 = 1$ $\newline$ $18 \div 6 = 3$ $\newline$ So, $(6/18)$ simplifies to $(1/3)$ .
Prime Fraction $(7/19)$ : The fraction $(7/19)$ cannot be simplified further as $7$ and $19$ are both prime numbers and do not have any common divisors other than $1$ .
Multiply Simplified Fractions: Multiply the simplified fractions together. $\newline$ $(\frac{2}{5}) \times (\frac{7}{19}) \times (\frac{1}{3})$ $\newline$ To multiply fractions, multiply the numerators together and the denominators together. $\newline$ Numerator: $2 \times 7 \times 1 = 14$ $\newline$ Denominator: $5 \times 19 \times 3 = 285$ $\newline$ So, the product of the fractions is $(\frac{14}{285})$ .
Check Simplified Fraction: Check if the fraction $(\frac{14}{285})$ can be simplified further. $\newline$ The numbers $14$ and $285$ do not have any common divisors other than $1$ , so the fraction is already in its simplest form.