What is 35/98 Divided By 4/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $98 \times 4 = 392$
• Form the New Fraction: $\frac{35}{98} \times \frac{4}{7} = \frac{245}{392}$

Let's Simplify $\frac{245}{392}$

• Find the Greatest Common Divisor (GCD) of $245$ and $392$. The GCD of $245$ and $392$ is $49$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 49}{392 \div 49} = \frac{5}{8}$

Answer $\frac{35}{98}\div\frac{4}{7} = \frac{5}{8}$

The following animation demonstrates the divide-by,