What is 60/46 Divided By 5/7

Solving $\frac{60}{46}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{46} \div \frac{5}{7} = \frac{60}{46} \times \frac{7}{5}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{60}{46} \times \frac{5}{7} = \frac{420}{230}$

Let's Simplify $\frac{420}{230}$

• Find the Greatest Common Divisor (GCD) of $420$ and $230$. The GCD of $420$ and $230$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 10}{230 \div 10} = \frac{42}{23}$

Answer $\frac{60}{46}\div\frac{5}{7} = \frac{42}{23}$

The following animation demonstrates the divide-by,