What is 35/89 Divided By 7/8

Solving $\frac{35}{89}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{89} \div \frac{7}{8} = \frac{35}{89} \times \frac{8}{7}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{35}{89} \times \frac{7}{8} = \frac{280}{623}$

Let's Simplify $\frac{280}{623}$

• Find the Greatest Common Divisor (GCD) of $280$ and $623$. The GCD of $280$ and $623$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 7}{623 \div 7} = \frac{40}{89}$

Answer $\frac{35}{89}\div\frac{7}{8} = \frac{40}{89}$

The following animation demonstrates the divide-by,