What is 35/22 Divided By 7/8

Solving $\frac{35}{22}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{22} \div \frac{7}{8} = \frac{35}{22} \times \frac{8}{7}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $22 \times 7 = 154$
• Form the New Fraction: $\frac{35}{22} \times \frac{7}{8} = \frac{280}{154}$

Let's Simplify $\frac{280}{154}$

• Find the Greatest Common Divisor (GCD) of $280$ and $154$. The GCD of $280$ and $154$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 14}{154 \div 14} = \frac{20}{11}$

Answer $\frac{35}{22}\div\frac{7}{8} = \frac{20}{11}$

The following animation demonstrates the divide-by,