What is 35/54 Divided By 7/4

Solving $\frac{35}{54}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{54} \div \frac{7}{4} = \frac{35}{54} \times \frac{4}{7}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{35}{54} \times \frac{7}{4} = \frac{140}{378}$

Let's Simplify $\frac{140}{378}$

• Find the Greatest Common Divisor (GCD) of $140$ and $378$. The GCD of $140$ and $378$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 14}{378 \div 14} = \frac{10}{27}$

Answer $\frac{35}{54}\div\frac{7}{4} = \frac{10}{27}$

The following animation demonstrates the divide-by,