What is 28/38 Divided By 4/6

Solving $\frac{28}{38}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{38} \div \frac{4}{6} = \frac{28}{38} \times \frac{6}{4}$

• Multiply the Numerators: $28 \times 6 = 168$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{28}{38} \times \frac{4}{6} = \frac{168}{152}$

Let's Simplify $\frac{168}{152}$

• Find the Greatest Common Divisor (GCD) of $168$ and $152$. The GCD of $168$ and $152$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 8}{152 \div 8} = \frac{21}{19}$

Answer $\frac{28}{38}\div\frac{4}{6} = \frac{21}{19}$

The following animation demonstrates the divide-by,