Convert to multiplication: Step 1: Convert the division of fractions to multiplication by the reciprocal. To divide (3/10) by (9/8), multiply (3/10) by the reciprocal of (9/8), which is (8/9). Calculation: (3/10) * (8/9)Multiply numerators and denominators: Step 2: Multiply the numerators and the denominators. Multiply the numerators: 3 * 8 = 24. Multiply the denominators: 10 * 9 = 90. Calculation: 24/90Simplify the fraction: Step 3: Simplify the fraction 24/90. The greatest common divisor (GCD) of 24 and 90 is 6. Divide both the numerator and the denominator by 6. Calculation: 24 ÷ 6 = 4, 90 ÷ 6 = 15.

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$\frac{3}{10} \div \frac{9}{8}$

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\frac{3}{10} \div \frac{9}{8}

Convert to multiplication: Step $1$ : Convert the division of fractions to multiplication by the reciprocal. $\newline$ To divide $(\frac{3}{10})$ by $(\frac{9}{8})$ , multiply $(\frac{3}{10})$ by the reciprocal of $(\frac{9}{8})$ , which is $(\frac{8}{9})$ . $\newline$ Calculation: $(\frac{3}{10}) \times (\frac{8}{9})$
Multiply numerators and denominators: Step $2$ : Multiply the numerators and the denominators. $\newline$ Multiply the numerators: $3 \times 8 = 24$ . $\newline$ Multiply the denominators: $10 \times 9 = 90$ . $\newline$ Calculation: $\frac{24}{90}$
Simplify the fraction: Step $3$ : Simplify the fraction $\frac{24}{90}$ . The greatest common divisor (GCD) of $24$ and $90$ is $6$ . Divide both the numerator and the denominator by $6$ . Calculation: $24 \div 6 = 4$ , $90 \div 6 = 15$ .