Question

Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7

Answer 1

Answer:

28x/9

Step-by-step explanation:

Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:

Here is the formula:

$\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}$

Thus, $\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}$

8x * 7 = 56x and 3* 6 is 18, so:

$\frac{56x}{18}$

It can be further simplified by dividing both numerator and denominator by 2:

$\frac{28x}{9}$

Answer 2

Answer:

$\frac{28x}{9}$

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

$\frac{8x}{3} /\frac{6}{7}$

Step 2: KCF (Keep Change Flip)

$\frac{8x}{3} (\frac{7}{6})$

Step 3: Multiply

$\frac{56x}{18}$

Step 4: Simplify

$\frac{28x}{9}$