What is 46/35 Divided By 4/5

Solving $\frac{46}{35}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{35} \div \frac{4}{5} = \frac{46}{35} \times \frac{5}{4}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{46}{35} \times \frac{4}{5} = \frac{230}{140}$

Let's Simplify $\frac{230}{140}$

• Find the Greatest Common Divisor (GCD) of $230$ and $140$. The GCD of $230$ and $140$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 10}{140 \div 10} = \frac{23}{14}$

Answer $\frac{46}{35}\div\frac{4}{5} = \frac{23}{14}$

The following animation demonstrates the divide-by,