What is 28/46 Divided By 3/5

Solving $\frac{28}{46}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{46} \div \frac{3}{5} = \frac{28}{46} \times \frac{5}{3}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{28}{46} \times \frac{3}{5} = \frac{140}{138}$

Let's Simplify $\frac{140}{138}$

• Find the Greatest Common Divisor (GCD) of $140$ and $138$. The GCD of $140$ and $138$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 2}{138 \div 2} = \frac{70}{69}$

Answer $\frac{28}{46}\div\frac{3}{5} = \frac{70}{69}$

The following animation demonstrates the divide-by,