What is 53/35 Divided By 6/4

Solving $\frac{53}{35}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{35} \div \frac{6}{4} = \frac{53}{35} \times \frac{4}{6}$

• Multiply the Numerators: $53 \times 4 = 212$
• Multiply the Denominators: $35 \times 6 = 210$
• Form the New Fraction: $\frac{53}{35} \times \frac{6}{4} = \frac{212}{210}$

Let's Simplify $\frac{212}{210}$

• Find the Greatest Common Divisor (GCD) of $212$ and $210$. The GCD of $212$ and $210$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{212 \div 2}{210 \div 2} = \frac{106}{105}$

Answer $\frac{53}{35}\div\frac{6}{4} = \frac{106}{105}$

The following animation demonstrates the divide-by,