What is 46/42 Divided By 7/8

Solving $\frac{46}{42}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{42} \div \frac{7}{8} = \frac{46}{42} \times \frac{8}{7}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $42 \times 7 = 294$
• Form the New Fraction: $\frac{46}{42} \times \frac{7}{8} = \frac{368}{294}$

Let's Simplify $\frac{368}{294}$

• Find the Greatest Common Divisor (GCD) of $368$ and $294$. The GCD of $368$ and $294$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{368 \div 2}{294 \div 2} = \frac{184}{147}$

Answer $\frac{46}{42}\div\frac{7}{8} = \frac{184}{147}$

The following animation demonstrates the divide-by,