What is 42/35 Divided By 3/4

Solving $\frac{42}{35}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{35} \div \frac{3}{4} = \frac{42}{35} \times \frac{4}{3}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $35 \times 3 = 105$
• Form the New Fraction: $\frac{42}{35} \times \frac{3}{4} = \frac{168}{105}$

Let's Simplify $\frac{168}{105}$

• Find the Greatest Common Divisor (GCD) of $168$ and $105$. The GCD of $168$ and $105$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 21}{105 \div 21} = \frac{8}{5}$

Answer $\frac{42}{35}\div\frac{3}{4} = \frac{8}{5}$

The following animation demonstrates the divide-by,