What is 75/35 Divided By 6/7

Solving $\frac{75}{35}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{35} \div \frac{6}{7} = \frac{75}{35} \times \frac{7}{6}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $35 \times 6 = 210$
• Form the New Fraction: $\frac{75}{35} \times \frac{6}{7} = \frac{525}{210}$

Let's Simplify $\frac{525}{210}$

• Find the Greatest Common Divisor (GCD) of $525$ and $210$. The GCD of $525$ and $210$ is $105$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 105}{210 \div 105} = \frac{5}{2}$

Answer $\frac{75}{35}\div\frac{6}{7} = \frac{5}{2}$

The following animation demonstrates the divide-by,