What is 48/45 Divided By 2/8

Solving $\frac{48}{45}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{45} \div \frac{2}{8} = \frac{48}{45} \times \frac{8}{2}$

• Multiply the Numerators: $48 \times 8 = 384$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{48}{45} \times \frac{2}{8} = \frac{384}{90}$

Let's Simplify $\frac{384}{90}$

• Find the Greatest Common Divisor (GCD) of $384$ and $90$. The GCD of $384$ and $90$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{384 \div 6}{90 \div 6} = \frac{64}{15}$

Answer $\frac{48}{45}\div\frac{2}{8} = \frac{64}{15}$

The following animation demonstrates the divide-by,