Can you answer this please 20 and brainlest for correct answer points I forgot how to do it I’m in middle school

Mathematics

2 answers:

Naily [24]2 years ago

8 0

9514 1404 393

Answer:

20/3

Step-by-step explanation:

There are two ways to do this.

1) "invert and multiply" or "dot swap"

(10/9) ÷ (1/6) = (10/9) · (6/1)

The division is changed to multiplication (dot, ·) and the divisor fraction 1/6 is inverted (numerator and denominator are swapped).

The resulting product is ...

(10/9)×(6/1) = 60/9 = 20/3

2. Use a common denominator. The denominators 9 and 6 of the respective fractions have a least common multiple of 18. This means both fractions can be expressed using 18 as a denominator:

$\dfrac{\text{ }\dfrac{10}{9}\text{ }}{\dfrac{1}{6}}=\dfrac{\text{ }\dfrac{20}{18}\text{ }}{\dfrac{3}{18}}=\boxed{\dfrac{20}{3}}$

Once the fractions are expressed with a common denominator, the denominators can be ignored/removed/cancelled. They are equivalent to a factor of (a/a) = 1, where a=1/18.