What is 28/53 Divided By 8/7

Solving $\frac{28}{53}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{53} \div \frac{8}{7} = \frac{28}{53} \times \frac{7}{8}$

• Multiply the Numerators: $28 \times 7 = 196$
• Multiply the Denominators: $53 \times 8 = 424$
• Form the New Fraction: $\frac{28}{53} \times \frac{8}{7} = \frac{196}{424}$

Let's Simplify $\frac{196}{424}$

• Find the Greatest Common Divisor (GCD) of $196$ and $424$. The GCD of $196$ and $424$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{196 \div 4}{424 \div 4} = \frac{49}{106}$

Answer $\frac{28}{53}\div\frac{8}{7} = \frac{49}{106}$

The following animation demonstrates the divide-by,