Question

1. find the quotient.

$\frac{3}{4} div 6 = square$

Explanation:

Step1: Recall fraction division rule

To divide a fraction by a number, we multiply the fraction by the reciprocal of that number. So, for $\frac{34}{5} \div 6$, we rewrite it as $\frac{34}{5} \times \frac{1}{6}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $34\times1 = 34$. Multiply the denominators: $5\times6 = 30$. So we get $\frac{34}{30}$.

Step3: Simplify the fraction

We can simplify $\frac{34}{30}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{34\div2}{30\div2}=\frac{17}{15}$. We can also write this as a mixed number: $1\frac{2}{15}$.

Answer:

$\frac{17}{15}$ (or $1\frac{2}{15}$)