What is 48/75 Divided By 5/8

Solving $\frac{48}{75}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{75} \div \frac{5}{8} = \frac{48}{75} \times \frac{8}{5}$

• Multiply the Numerators: $48 \times 8 = 384$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{48}{75} \times \frac{5}{8} = \frac{384}{375}$

Let's Simplify $\frac{384}{375}$

• Find the Greatest Common Divisor (GCD) of $384$ and $375$. The GCD of $384$ and $375$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{384 \div 3}{375 \div 3} = \frac{128}{125}$

Answer $\frac{48}{75}\div\frac{5}{8} = \frac{128}{125}$

The following animation demonstrates the divide-by,