What is 35/88 Divided By 5/6

Solving $\frac{35}{88}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{88} \div \frac{5}{6} = \frac{35}{88} \times \frac{6}{5}$

• Multiply the Numerators: $35 \times 6 = 210$
• Multiply the Denominators: $88 \times 5 = 440$
• Form the New Fraction: $\frac{35}{88} \times \frac{5}{6} = \frac{210}{440}$

Let's Simplify $\frac{210}{440}$

• Find the Greatest Common Divisor (GCD) of $210$ and $440$. The GCD of $210$ and $440$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 10}{440 \div 10} = \frac{21}{44}$

Answer $\frac{35}{88}\div\frac{5}{6} = \frac{21}{44}$

The following animation demonstrates the divide-by,