What is 35/46 Divided By 7/8

Solving $\frac{35}{46}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{46} \div \frac{7}{8} = \frac{35}{46} \times \frac{8}{7}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $46 \times 7 = 322$
• Form the New Fraction: $\frac{35}{46} \times \frac{7}{8} = \frac{280}{322}$

Let's Simplify $\frac{280}{322}$

• Find the Greatest Common Divisor (GCD) of $280$ and $322$. The GCD of $280$ and $322$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 14}{322 \div 14} = \frac{20}{23}$

Answer $\frac{35}{46}\div\frac{7}{8} = \frac{20}{23}$

The following animation demonstrates the divide-by,