What is 28/98 Divided By 7/8

Solving $\frac{28}{98}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{98} \div \frac{7}{8} = \frac{28}{98} \times \frac{8}{7}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $98 \times 7 = 686$
• Form the New Fraction: $\frac{28}{98} \times \frac{7}{8} = \frac{224}{686}$

Let's Simplify $\frac{224}{686}$

• Find the Greatest Common Divisor (GCD) of $224$ and $686$. The GCD of $224$ and $686$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 14}{686 \div 14} = \frac{16}{49}$

Answer $\frac{28}{98}\div\frac{7}{8} = \frac{16}{49}$

The following animation demonstrates the divide-by,