What is 60/35 Divided By 7/8

Solving $\frac{60}{35}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{35} \div \frac{7}{8} = \frac{60}{35} \times \frac{8}{7}$

• Multiply the Numerators: $60 \times 8 = 480$
• Multiply the Denominators: $35 \times 7 = 245$
• Form the New Fraction: $\frac{60}{35} \times \frac{7}{8} = \frac{480}{245}$

Let's Simplify $\frac{480}{245}$

• Find the Greatest Common Divisor (GCD) of $480$ and $245$. The GCD of $480$ and $245$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{480 \div 5}{245 \div 5} = \frac{96}{49}$

Answer $\frac{60}{35}\div\frac{7}{8} = \frac{96}{49}$

The following animation demonstrates the divide-by,