What is 35/18 Divided By 5/8

Solving $\frac{35}{18}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{18} \div \frac{5}{8} = \frac{35}{18} \times \frac{8}{5}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $18 \times 5 = 90$
• Form the New Fraction: $\frac{35}{18} \times \frac{5}{8} = \frac{280}{90}$

Let's Simplify $\frac{280}{90}$

• Find the Greatest Common Divisor (GCD) of $280$ and $90$. The GCD of $280$ and $90$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 10}{90 \div 10} = \frac{28}{9}$

Answer $\frac{35}{18}\div\frac{5}{8} = \frac{28}{9}$

The following animation demonstrates the divide-by,