What is 48/75 Divided By 9/8

Solving $\frac{48}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{75} \div \frac{9}{8} = \frac{48}{75} \times \frac{8}{9}$

• Multiply the Numerators: $48 \times 8 = 384$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{48}{75} \times \frac{9}{8} = \frac{384}{675}$

Let's Simplify $\frac{384}{675}$

• Find the Greatest Common Divisor (GCD) of $384$ and $675$. The GCD of $384$ and $675$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{384 \div 3}{675 \div 3} = \frac{128}{225}$

Answer $\frac{48}{75}\div\frac{9}{8} = \frac{128}{225}$

The following animation demonstrates the divide-by,