What is 28/35 Divided By 6/8

Solving $\frac{28}{35}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{35} \div \frac{6}{8} = \frac{28}{35} \times \frac{8}{6}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $35 \times 6 = 210$
• Form the New Fraction: $\frac{28}{35} \times \frac{6}{8} = \frac{224}{210}$

Let's Simplify $\frac{224}{210}$

• Find the Greatest Common Divisor (GCD) of $224$ and $210$. The GCD of $224$ and $210$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 14}{210 \div 14} = \frac{16}{15}$

Answer $\frac{28}{35}\div\frac{6}{8} = \frac{16}{15}$

The following animation demonstrates the divide-by,