What is 48/60 Divided By 7/8

Solving $\frac{48}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{60} \div \frac{7}{8} = \frac{48}{60} \times \frac{8}{7}$

• Multiply the Numerators: $48 \times 8 = 384$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{48}{60} \times \frac{7}{8} = \frac{384}{420}$

Let's Simplify $\frac{384}{420}$

• Find the Greatest Common Divisor (GCD) of $384$ and $420$. The GCD of $384$ and $420$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{384 \div 12}{420 \div 12} = \frac{32}{35}$

Answer $\frac{48}{60}\div\frac{7}{8} = \frac{32}{35}$

The following animation demonstrates the divide-by,