What is 35/98 Divided By 7/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,