Perform the operation and simplify the answer fully. (8)/(9)÷(7)/(6) Answer:

Understand Fraction Division: Understand the division of fractions. To divide by a fraction, you multiply by its reciprocal. The reciprocal of (7/6) is (6/7).Write as Multiplication: Write the division as a multiplication by the reciprocal. (8/9) ÷ (7/6) = (8/9) * (6/7)Multiply Numerators and Denominators: Multiply the numerators and denominators. (8 * 6) / (9 * 7) = 48 / 63Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of 48 and 63. The GCD of 48 and 63 is 3.Divide by GCD to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction. 48 / 3 = 16 63 / 3 = 21 So, (48 / 63) simplifies to (16 / 21).

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Perform the operation and simplify the answer fully.

(8)/(9)÷(7)/(6)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{8}{9} \div \frac{7}{6}$ $\newline$ Answer:

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Q. Perform the operation and simplify the answer fully.

\newline

\frac{8}{9} \div \frac{7}{6}

\newline

Answer:

Understand Fraction Division: Understand the division of fractions. $\newline$ To divide by a fraction, you multiply by its reciprocal. The reciprocal of $(\frac{7}{6})$ is $(\frac{6}{7})$ .
Write as Multiplication: Write the division as a multiplication by the reciprocal. $\newline$ $(\frac{8}{9}) \div (\frac{7}{6}) = (\frac{8}{9}) \times (\frac{6}{7})$
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ $(8 \times 6) / (9 \times 7) = 48 / 63$
Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of $48$ and $63$ . The GCD of $48$ and $63$ is $3$ .
Divide by GCD to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $\frac{48}{3} = 16$ $\newline$ $\frac{63}{3} = 21$ $\newline$ So, $\frac{48}{63}$ simplifies to $\frac{16}{21}$ .