Solve ((8)/(20))((7)/(19))((6)/(18))=

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

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\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.