What is 98/35 Divided By 4/7

Solving $\frac{98}{35}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{35} \div \frac{4}{7} = \frac{98}{35} \times \frac{7}{4}$

• Multiply the Numerators: $98 \times 7 = 686$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{98}{35} \times \frac{4}{7} = \frac{686}{140}$

Let's Simplify $\frac{686}{140}$

• Find the Greatest Common Divisor (GCD) of $686$ and $140$. The GCD of $686$ and $140$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{686 \div 14}{140 \div 14} = \frac{49}{10}$

Answer $\frac{98}{35}\div\frac{4}{7} = \frac{49}{10}$

The following animation demonstrates the divide-by,