Answer:
[tex]\frac{28x}{9}[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
[tex]\frac{8x}{3} /\frac{6}{7}[/tex]
Step 2: KCF (Keep Change Flip)
[tex]\frac{8x}{3} (\frac{7}{6})[/tex]
Step 3: Multiply
[tex]\frac{56x}{18}[/tex]
Step 4: Simplify
[tex]\frac{28x}{9}[/tex]
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:
[tex]\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}[/tex]
Thus, [tex]\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}[/tex]
8x * 7 = 56x and 3* 6 is 18, so:
[tex]\frac{56x}{18}[/tex]
It can be further simplified by dividing both numerator and denominator by 2:
[tex]\frac{28x}{9}[/tex]
