What is 28/39 Divided By 7/8

Solving $\frac{28}{39}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{39} \div \frac{7}{8} = \frac{28}{39} \times \frac{8}{7}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $39 \times 7 = 273$
• Form the New Fraction: $\frac{28}{39} \times \frac{7}{8} = \frac{224}{273}$

Let's Simplify $\frac{224}{273}$

• Find the Greatest Common Divisor (GCD) of $224$ and $273$. The GCD of $224$ and $273$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 7}{273 \div 7} = \frac{32}{39}$

Answer $\frac{28}{39}\div\frac{7}{8} = \frac{32}{39}$

The following animation demonstrates the divide-by,