What is 53/98 Divided By 2/7

Solving $\frac{53}{98}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{98} \div \frac{2}{7} = \frac{53}{98} \times \frac{7}{2}$

• Multiply the Numerators: $53 \times 7 = 371$
• Multiply the Denominators: $98 \times 2 = 196$
• Form the New Fraction: $\frac{53}{98} \times \frac{2}{7} = \frac{371}{196}$

Let's Simplify $\frac{371}{196}$

• Find the Greatest Common Divisor (GCD) of $371$ and $196$. The GCD of $371$ and $196$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{371 \div 7}{196 \div 7} = \frac{53}{28}$

Answer $\frac{53}{98}\div\frac{2}{7} = \frac{53}{28}$

The following animation demonstrates the divide-by,